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Finding the Third Proportional to 31,753.50 and 47,475

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Solution

The third proportional to 31,753.50 and 47,475 is: 70,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.50 : 47,475 = 47,475 : x
  2. Step 2: Convert to fraction form
    31,753.50/47,475 = 47,475/x
  3. Step 3: Cross multiply
    31,753.50x = 47,475 × 47,475
  4. Step 4: Simplify right side
    31,753.50x = 2,253,875,625
  5. Step 5: Solve for x
    x = 2,253,875,625/31,753.50
  6. Step 6: Final answer
    x = 70,980.38

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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.