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Finding the Third Proportional to 38,854.13 and 83,910.75

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Solution

The third proportional to 38,854.13 and 83,910.75 is: 181,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.13 : 83,910.75 = 83,910.75 : x
  2. Step 2: Convert to fraction form
    38,854.13/83,910.75 = 83,910.75/x
  3. Step 3: Cross multiply
    38,854.13x = 83,910.75 × 83,910.75
  4. Step 4: Simplify right side
    38,854.13x = 7,041,013,965.56
  5. Step 5: Solve for x
    x = 7,041,013,965.56/38,854.13
  6. Step 6: Final answer
    x = 181,216.64

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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.