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Finding the Third Proportional to 31,394.88 and 47,092.38

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Solution

The third proportional to 31,394.88 and 47,092.38 is: 70,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.88 : 47,092.38 = 47,092.38 : x
  2. Step 2: Convert to fraction form
    31,394.88/47,092.38 = 47,092.38/x
  3. Step 3: Cross multiply
    31,394.88x = 47,092.38 × 47,092.38
  4. Step 4: Simplify right side
    31,394.88x = 2,217,691,783.14
  5. Step 5: Solve for x
    x = 2,217,691,783.14/31,394.88
  6. Step 6: Final answer
    x = 70,638.66

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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.