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Finding the Third Proportional to 5,586.47 and 8,651.81

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Solution

The third proportional to 5,586.47 and 8,651.81 is: 13,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.47 : 8,651.81 = 8,651.81 : x
  2. Step 2: Convert to fraction form
    5,586.47/8,651.81 = 8,651.81/x
  3. Step 3: Cross multiply
    5,586.47x = 8,651.81 × 8,651.81
  4. Step 4: Simplify right side
    5,586.47x = 74,853,859.54
  5. Step 5: Solve for x
    x = 74,853,859.54/5,586.47
  6. Step 6: Final answer
    x = 13,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.