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Finding the Third Proportional to 22,170.38 and 51,272.16

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Solution

The third proportional to 22,170.38 and 51,272.16 is: 118,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170.38 : 51,272.16 = 51,272.16 : x
  2. Step 2: Convert to fraction form
    22,170.38/51,272.16 = 51,272.16/x
  3. Step 3: Cross multiply
    22,170.38x = 51,272.16 × 51,272.16
  4. Step 4: Simplify right side
    22,170.38x = 2,628,834,006.52
  5. Step 5: Solve for x
    x = 2,628,834,006.52/22,170.38
  6. Step 6: Final answer
    x = 118,574.18

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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.