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Finding the Third Proportional to 8,677.13 and 13,149.84

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Solution

The third proportional to 8,677.13 and 13,149.84 is: 19,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.13 : 13,149.84 = 13,149.84 : x
  2. Step 2: Convert to fraction form
    8,677.13/13,149.84 = 13,149.84/x
  3. Step 3: Cross multiply
    8,677.13x = 13,149.84 × 13,149.84
  4. Step 4: Simplify right side
    8,677.13x = 172,918,390.65
  5. Step 5: Solve for x
    x = 172,918,390.65/8,677.13
  6. Step 6: Final answer
    x = 19,928.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.