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Finding the Third Proportional to 21,937.13 and 47,377.13

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Solution

The third proportional to 21,937.13 and 47,377.13 is: 102,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.13 : 47,377.13 = 47,377.13 : x
  2. Step 2: Convert to fraction form
    21,937.13/47,377.13 = 47,377.13/x
  3. Step 3: Cross multiply
    21,937.13x = 47,377.13 × 47,377.13
  4. Step 4: Simplify right side
    21,937.13x = 2,244,591,973.27
  5. Step 5: Solve for x
    x = 2,244,591,973.27/21,937.13
  6. Step 6: Final answer
    x = 102,319.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.