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Finding the Third Proportional to 8,414.16 and 13,065.47

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Solution

The third proportional to 8,414.16 and 13,065.47 is: 20,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.16 : 13,065.47 = 13,065.47 : x
  2. Step 2: Convert to fraction form
    8,414.16/13,065.47 = 13,065.47/x
  3. Step 3: Cross multiply
    8,414.16x = 13,065.47 × 13,065.47
  4. Step 4: Simplify right side
    8,414.16x = 170,706,473.66
  5. Step 5: Solve for x
    x = 170,706,473.66/8,414.16
  6. Step 6: Final answer
    x = 20,288.01

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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.