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Finding the Third Proportional to 9,002.87 and 12,600.88

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Solution

The third proportional to 9,002.87 and 12,600.88 is: 17,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.87 : 12,600.88 = 12,600.88 : x
  2. Step 2: Convert to fraction form
    9,002.87/12,600.88 = 12,600.88/x
  3. Step 3: Cross multiply
    9,002.87x = 12,600.88 × 12,600.88
  4. Step 4: Simplify right side
    9,002.87x = 158,782,149.21
  5. Step 5: Solve for x
    x = 158,782,149.21/9,002.87
  6. Step 6: Final answer
    x = 17,636.85

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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.