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Finding the Third Proportional to 29,739.38 and 43,787.25

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Solution

The third proportional to 29,739.38 and 43,787.25 is: 64,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.38 : 43,787.25 = 43,787.25 : x
  2. Step 2: Convert to fraction form
    29,739.38/43,787.25 = 43,787.25/x
  3. Step 3: Cross multiply
    29,739.38x = 43,787.25 × 43,787.25
  4. Step 4: Simplify right side
    29,739.38x = 1,917,323,262.56
  5. Step 5: Solve for x
    x = 1,917,323,262.56/29,739.38
  6. Step 6: Final answer
    x = 64,470.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.