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Finding the Third Proportional to 29,207.46 and 43,762.15

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Solution

The third proportional to 29,207.46 and 43,762.15 is: 65,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207.46 : 43,762.15 = 43,762.15 : x
  2. Step 2: Convert to fraction form
    29,207.46/43,762.15 = 43,762.15/x
  3. Step 3: Cross multiply
    29,207.46x = 43,762.15 × 43,762.15
  4. Step 4: Simplify right side
    29,207.46x = 1,915,125,635.87
  5. Step 5: Solve for x
    x = 1,915,125,635.87/29,207.46
  6. Step 6: Final answer
    x = 65,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.