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Finding the Third Proportional to 31,234 and 63,625

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Solution

The third proportional to 31,234 and 63,625 is: 129,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 63,625 = 63,625 : x
  2. Step 2: Convert to fraction form
    31,234/63,625 = 63,625/x
  3. Step 3: Cross multiply
    31,234x = 63,625 × 63,625
  4. Step 4: Simplify right side
    31,234x = 4,048,140,625
  5. Step 5: Solve for x
    x = 4,048,140,625/31,234
  6. Step 6: Final answer
    x = 129,606.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.