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Finding the Third Proportional to 31,537.13 and 47,437.31

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Solution

The third proportional to 31,537.13 and 47,437.31 is: 71,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537.13 : 47,437.31 = 47,437.31 : x
  2. Step 2: Convert to fraction form
    31,537.13/47,437.31 = 47,437.31/x
  3. Step 3: Cross multiply
    31,537.13x = 47,437.31 × 47,437.31
  4. Step 4: Simplify right side
    31,537.13x = 2,250,298,617.22
  5. Step 5: Solve for x
    x = 2,250,298,617.22/31,537.13
  6. Step 6: Final answer
    x = 71,353.96

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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.