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Finding the Third Proportional to 38,404.13 and 89,704.13

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Solution

The third proportional to 38,404.13 and 89,704.13 is: 209,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.13 : 89,704.13 = 89,704.13 : x
  2. Step 2: Convert to fraction form
    38,404.13/89,704.13 = 89,704.13/x
  3. Step 3: Cross multiply
    38,404.13x = 89,704.13 × 89,704.13
  4. Step 4: Simplify right side
    38,404.13x = 8,046,830,042.02
  5. Step 5: Solve for x
    x = 8,046,830,042.02/38,404.13
  6. Step 6: Final answer
    x = 209,530.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.