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Finding the Third Proportional to 8,089.88 and 12,651.19

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Solution

The third proportional to 8,089.88 and 12,651.19 is: 19,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.88 : 12,651.19 = 12,651.19 : x
  2. Step 2: Convert to fraction form
    8,089.88/12,651.19 = 12,651.19/x
  3. Step 3: Cross multiply
    8,089.88x = 12,651.19 × 12,651.19
  4. Step 4: Simplify right side
    8,089.88x = 160,052,545.16
  5. Step 5: Solve for x
    x = 160,052,545.16/8,089.88
  6. Step 6: Final answer
    x = 19,784.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.