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Finding the Third Proportional to 8,589.38 and 13,125.38

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Solution

The third proportional to 8,589.38 and 13,125.38 is: 20,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.38 : 13,125.38 = 13,125.38 : x
  2. Step 2: Convert to fraction form
    8,589.38/13,125.38 = 13,125.38/x
  3. Step 3: Cross multiply
    8,589.38x = 13,125.38 × 13,125.38
  4. Step 4: Simplify right side
    8,589.38x = 172,275,468.89
  5. Step 5: Solve for x
    x = 172,275,468.89/8,589.38
  6. Step 6: Final answer
    x = 20,056.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.