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Finding the Third Proportional to 22,161.75 and 51,253.13

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Solution

The third proportional to 22,161.75 and 51,253.13 is: 118,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.75 : 51,253.13 = 51,253.13 : x
  2. Step 2: Convert to fraction form
    22,161.75/51,253.13 = 51,253.13/x
  3. Step 3: Cross multiply
    22,161.75x = 51,253.13 × 51,253.13
  4. Step 4: Simplify right side
    22,161.75x = 2,626,882,822.27
  5. Step 5: Solve for x
    x = 2,626,882,822.27/22,161.75
  6. Step 6: Final answer
    x = 118,532.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.