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Finding the Third Proportional to 36,799.31 and 49,663.13

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Solution

The third proportional to 36,799.31 and 49,663.13 is: 67,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,799.31 : 49,663.13 = 49,663.13 : x
  2. Step 2: Convert to fraction form
    36,799.31/49,663.13 = 49,663.13/x
  3. Step 3: Cross multiply
    36,799.31x = 49,663.13 × 49,663.13
  4. Step 4: Simplify right side
    36,799.31x = 2,466,425,984.77
  5. Step 5: Solve for x
    x = 2,466,425,984.77/36,799.31
  6. Step 6: Final answer
    x = 67,023.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.