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Finding the Third Proportional to 29,725.31 and 64,987.31

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Solution

The third proportional to 29,725.31 and 64,987.31 is: 142,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.31 : 64,987.31 = 64,987.31 : x
  2. Step 2: Convert to fraction form
    29,725.31/64,987.31 = 64,987.31/x
  3. Step 3: Cross multiply
    29,725.31x = 64,987.31 × 64,987.31
  4. Step 4: Simplify right side
    29,725.31x = 4,223,350,785.97
  5. Step 5: Solve for x
    x = 4,223,350,785.97/29,725.31
  6. Step 6: Final answer
    x = 142,079.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.