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Finding the Third Proportional to 8,001.28 and 12,568.92

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Solution

The third proportional to 8,001.28 and 12,568.92 is: 19,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.28 : 12,568.92 = 12,568.92 : x
  2. Step 2: Convert to fraction form
    8,001.28/12,568.92 = 12,568.92/x
  3. Step 3: Cross multiply
    8,001.28x = 12,568.92 × 12,568.92
  4. Step 4: Simplify right side
    8,001.28x = 157,977,797.10
  5. Step 5: Solve for x
    x = 157,977,797.10/8,001.28
  6. Step 6: Final answer
    x = 19,744.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.