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Finding the Third Proportional to 17,869.92 and 38,193.89

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Solution

The third proportional to 17,869.92 and 38,193.89 is: 81,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.92 : 38,193.89 = 38,193.89 : x
  2. Step 2: Convert to fraction form
    17,869.92/38,193.89 = 38,193.89/x
  3. Step 3: Cross multiply
    17,869.92x = 38,193.89 × 38,193.89
  4. Step 4: Simplify right side
    17,869.92x = 1,458,773,281.07
  5. Step 5: Solve for x
    x = 1,458,773,281.07/17,869.92
  6. Step 6: Final answer
    x = 81,632.89

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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.