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Finding the Third Proportional to 31,598 and 47,349

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Solution

The third proportional to 31,598 and 47,349 is: 70,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598 : 47,349 = 47,349 : x
  2. Step 2: Convert to fraction form
    31,598/47,349 = 47,349/x
  3. Step 3: Cross multiply
    31,598x = 47,349 × 47,349
  4. Step 4: Simplify right side
    31,598x = 2,241,927,801
  5. Step 5: Solve for x
    x = 2,241,927,801/31,598
  6. Step 6: Final answer
    x = 70,951.57

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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.