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Finding the Third Proportional to 10,384.88 and 15,589.13

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Solution

The third proportional to 10,384.88 and 15,589.13 is: 23,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.88 : 15,589.13 = 15,589.13 : x
  2. Step 2: Convert to fraction form
    10,384.88/15,589.13 = 15,589.13/x
  3. Step 3: Cross multiply
    10,384.88x = 15,589.13 × 15,589.13
  4. Step 4: Simplify right side
    10,384.88x = 243,020,818.27
  5. Step 5: Solve for x
    x = 243,020,818.27/10,384.88
  6. Step 6: Final answer
    x = 23,401.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.