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Finding the Third Proportional to 17,664.38 and 37,888.13

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Solution

The third proportional to 17,664.38 and 37,888.13 is: 81,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.38 : 37,888.13 = 37,888.13 : x
  2. Step 2: Convert to fraction form
    17,664.38/37,888.13 = 37,888.13/x
  3. Step 3: Cross multiply
    17,664.38x = 37,888.13 × 37,888.13
  4. Step 4: Simplify right side
    17,664.38x = 1,435,510,016.02
  5. Step 5: Solve for x
    x = 1,435,510,016.02/17,664.38
  6. Step 6: Final answer
    x = 81,265.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.