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Finding the Third Proportional to 15,589.13 and 16,851.38

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Solution

The third proportional to 15,589.13 and 16,851.38 is: 18,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 16,851.38 = 16,851.38 : x
  2. Step 2: Convert to fraction form
    15,589.13/16,851.38 = 16,851.38/x
  3. Step 3: Cross multiply
    15,589.13x = 16,851.38 × 16,851.38
  4. Step 4: Simplify right side
    15,589.13x = 283,968,839.39
  5. Step 5: Solve for x
    x = 283,968,839.39/15,589.13
  6. Step 6: Final answer
    x = 18,215.83

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.