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Finding the Third Proportional to 38,862.38 and 84,286.13

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Solution

The third proportional to 38,862.38 and 84,286.13 is: 182,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.38 : 84,286.13 = 84,286.13 : x
  2. Step 2: Convert to fraction form
    38,862.38/84,286.13 = 84,286.13/x
  3. Step 3: Cross multiply
    38,862.38x = 84,286.13 × 84,286.13
  4. Step 4: Simplify right side
    38,862.38x = 7,104,150,867.52
  5. Step 5: Solve for x
    x = 7,104,150,867.52/38,862.38
  6. Step 6: Final answer
    x = 182,802.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.