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Finding the Third Proportional to 18,397.13 and 38,368.69

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Solution

The third proportional to 18,397.13 and 38,368.69 is: 80,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,397.13 : 38,368.69 = 38,368.69 : x
  2. Step 2: Convert to fraction form
    18,397.13/38,368.69 = 38,368.69/x
  3. Step 3: Cross multiply
    18,397.13x = 38,368.69 × 38,368.69
  4. Step 4: Simplify right side
    18,397.13x = 1,472,156,180.47
  5. Step 5: Solve for x
    x = 1,472,156,180.47/18,397.13
  6. Step 6: Final answer
    x = 80,020.99

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.