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Finding the Third Proportional to 31,234 and 47,634

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Solution

The third proportional to 31,234 and 47,634 is: 72,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 47,634 = 47,634 : x
  2. Step 2: Convert to fraction form
    31,234/47,634 = 47,634/x
  3. Step 3: Cross multiply
    31,234x = 47,634 × 47,634
  4. Step 4: Simplify right side
    31,234x = 2,268,997,956
  5. Step 5: Solve for x
    x = 2,268,997,956/31,234
  6. Step 6: Final answer
    x = 72,645.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.