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Finding the Third Proportional to 38,404.13 and 79,876.13

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Solution

The third proportional to 38,404.13 and 79,876.13 is: 166,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.13 : 79,876.13 = 79,876.13 : x
  2. Step 2: Convert to fraction form
    38,404.13/79,876.13 = 79,876.13/x
  3. Step 3: Cross multiply
    38,404.13x = 79,876.13 × 79,876.13
  4. Step 4: Simplify right side
    38,404.13x = 6,380,195,345.02
  5. Step 5: Solve for x
    x = 6,380,195,345.02/38,404.13
  6. Step 6: Final answer
    x = 166,133.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.