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Finding the Third Proportional to 29,234.25 and 42,757.88

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Solution

The third proportional to 29,234.25 and 42,757.88 is: 62,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.25 : 42,757.88 = 42,757.88 : x
  2. Step 2: Convert to fraction form
    29,234.25/42,757.88 = 42,757.88/x
  3. Step 3: Cross multiply
    29,234.25x = 42,757.88 × 42,757.88
  4. Step 4: Simplify right side
    29,234.25x = 1,828,235,874.52
  5. Step 5: Solve for x
    x = 1,828,235,874.52/29,234.25
  6. Step 6: Final answer
    x = 62,537.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.