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Finding the Third Proportional to 8,651.81 and 16,002.56

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Solution

The third proportional to 8,651.81 and 16,002.56 is: 29,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.81 : 16,002.56 = 16,002.56 : x
  2. Step 2: Convert to fraction form
    8,651.81/16,002.56 = 16,002.56/x
  3. Step 3: Cross multiply
    8,651.81x = 16,002.56 × 16,002.56
  4. Step 4: Simplify right side
    8,651.81x = 256,082,006.57
  5. Step 5: Solve for x
    x = 256,082,006.57/8,651.81
  6. Step 6: Final answer
    x = 29,598.65

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.