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Finding the Third Proportional to 31,472.30 and 61,349.91

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Solution

The third proportional to 31,472.30 and 61,349.91 is: 119,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.30 : 61,349.91 = 61,349.91 : x
  2. Step 2: Convert to fraction form
    31,472.30/61,349.91 = 61,349.91/x
  3. Step 3: Cross multiply
    31,472.30x = 61,349.91 × 61,349.91
  4. Step 4: Simplify right side
    31,472.30x = 3,763,810,996.88
  5. Step 5: Solve for x
    x = 3,763,810,996.88/31,472.30
  6. Step 6: Final answer
    x = 119,591.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.