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Finding the Third Proportional to 29,332.69 and 64,042.31

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Solution

The third proportional to 29,332.69 and 64,042.31 is: 139,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,332.69 : 64,042.31 = 64,042.31 : x
  2. Step 2: Convert to fraction form
    29,332.69/64,042.31 = 64,042.31/x
  3. Step 3: Cross multiply
    29,332.69x = 64,042.31 × 64,042.31
  4. Step 4: Simplify right side
    29,332.69x = 4,101,417,790.35
  5. Step 5: Solve for x
    x = 4,101,417,790.35/29,332.69
  6. Step 6: Final answer
    x = 139,824.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.