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Finding the Third Proportional to 20,115 and 31,386

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Solution

The third proportional to 20,115 and 31,386 is: 48,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 31,386 = 31,386 : x
  2. Step 2: Convert to fraction form
    20,115/31,386 = 31,386/x
  3. Step 3: Cross multiply
    20,115x = 31,386 × 31,386
  4. Step 4: Simplify right side
    20,115x = 985,080,996
  5. Step 5: Solve for x
    x = 985,080,996/20,115
  6. Step 6: Final answer
    x = 48,972.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.