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Finding the Third Proportional to 20,578 and 31,311

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Solution

The third proportional to 20,578 and 31,311 is: 47,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 31,311 = 31,311 : x
  2. Step 2: Convert to fraction form
    20,578/31,311 = 31,311/x
  3. Step 3: Cross multiply
    20,578x = 31,311 × 31,311
  4. Step 4: Simplify right side
    20,578x = 980,378,721
  5. Step 5: Solve for x
    x = 980,378,721/20,578
  6. Step 6: Final answer
    x = 47,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.