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Finding the Third Proportional to 8,456.06 and 13,144.78

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Solution

The third proportional to 8,456.06 and 13,144.78 is: 20,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.06 : 13,144.78 = 13,144.78 : x
  2. Step 2: Convert to fraction form
    8,456.06/13,144.78 = 13,144.78/x
  3. Step 3: Cross multiply
    8,456.06x = 13,144.78 × 13,144.78
  4. Step 4: Simplify right side
    8,456.06x = 172,785,274.11
  5. Step 5: Solve for x
    x = 172,785,274.11/8,456.06
  6. Step 6: Final answer
    x = 20,433.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.