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Finding the Third Proportional to 10,027.13 and 15,589.13

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Solution

The third proportional to 10,027.13 and 15,589.13 is: 24,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.13 : 15,589.13 = 15,589.13 : x
  2. Step 2: Convert to fraction form
    10,027.13/15,589.13 = 15,589.13/x
  3. Step 3: Cross multiply
    10,027.13x = 15,589.13 × 15,589.13
  4. Step 4: Simplify right side
    10,027.13x = 243,020,818.27
  5. Step 5: Solve for x
    x = 243,020,818.27/10,027.13
  6. Step 6: Final answer
    x = 24,236.34

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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.