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Finding the Third Proportional to 40,659.47 and 63,448.31

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Solution

The third proportional to 40,659.47 and 63,448.31 is: 99,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,659.47 : 63,448.31 = 63,448.31 : x
  2. Step 2: Convert to fraction form
    40,659.47/63,448.31 = 63,448.31/x
  3. Step 3: Cross multiply
    40,659.47x = 63,448.31 × 63,448.31
  4. Step 4: Simplify right side
    40,659.47x = 4,025,688,359.10
  5. Step 5: Solve for x
    x = 4,025,688,359.10/40,659.47
  6. Step 6: Final answer
    x = 99,009.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.