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Finding the Third Proportional to 31,974.75 and 47,962.13

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Solution

The third proportional to 31,974.75 and 47,962.13 is: 71,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.75 : 47,962.13 = 47,962.13 : x
  2. Step 2: Convert to fraction form
    31,974.75/47,962.13 = 47,962.13/x
  3. Step 3: Cross multiply
    31,974.75x = 47,962.13 × 47,962.13
  4. Step 4: Simplify right side
    31,974.75x = 2,300,365,434.52
  5. Step 5: Solve for x
    x = 2,300,365,434.52/31,974.75
  6. Step 6: Final answer
    x = 71,943.19

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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.