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Finding the Third Proportional to 22,744.13 and 53,128.13

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Solution

The third proportional to 22,744.13 and 53,128.13 is: 124,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.13 : 53,128.13 = 53,128.13 : x
  2. Step 2: Convert to fraction form
    22,744.13/53,128.13 = 53,128.13/x
  3. Step 3: Cross multiply
    22,744.13x = 53,128.13 × 53,128.13
  4. Step 4: Simplify right side
    22,744.13x = 2,822,597,666.02
  5. Step 5: Solve for x
    x = 2,822,597,666.02/22,744.13
  6. Step 6: Final answer
    x = 124,102.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.