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Finding the Third Proportional to 8,909.53 and 12,456.05

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Solution

The third proportional to 8,909.53 and 12,456.05 is: 17,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.53 : 12,456.05 = 12,456.05 : x
  2. Step 2: Convert to fraction form
    8,909.53/12,456.05 = 12,456.05/x
  3. Step 3: Cross multiply
    8,909.53x = 12,456.05 × 12,456.05
  4. Step 4: Simplify right side
    8,909.53x = 155,153,249.72
  5. Step 5: Solve for x
    x = 155,153,249.72/8,909.53
  6. Step 6: Final answer
    x = 17,414.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.