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Finding the Third Proportional to 10,031 and 15,595

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Solution

The third proportional to 10,031 and 15,595 is: 24,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031 : 15,595 = 15,595 : x
  2. Step 2: Convert to fraction form
    10,031/15,595 = 15,595/x
  3. Step 3: Cross multiply
    10,031x = 15,595 × 15,595
  4. Step 4: Simplify right side
    10,031x = 243,204,025
  5. Step 5: Solve for x
    x = 243,204,025/10,031
  6. Step 6: Final answer
    x = 24,245.24

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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.