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Finding the Third Proportional to 31,591.13 and 47,514.94

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Solution

The third proportional to 31,591.13 and 47,514.94 is: 71,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.13 : 47,514.94 = 47,514.94 : x
  2. Step 2: Convert to fraction form
    31,591.13/47,514.94 = 47,514.94/x
  3. Step 3: Cross multiply
    31,591.13x = 47,514.94 × 47,514.94
  4. Step 4: Simplify right side
    31,591.13x = 2,257,669,285.63
  5. Step 5: Solve for x
    x = 2,257,669,285.63/31,591.13
  6. Step 6: Final answer
    x = 71,465.30

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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.