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Finding the Third Proportional to 20,596 and 31,918

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Solution

The third proportional to 20,596 and 31,918 is: 49,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 31,918 = 31,918 : x
  2. Step 2: Convert to fraction form
    20,596/31,918 = 31,918/x
  3. Step 3: Cross multiply
    20,596x = 31,918 × 31,918
  4. Step 4: Simplify right side
    20,596x = 1,018,758,724
  5. Step 5: Solve for x
    x = 1,018,758,724/20,596
  6. Step 6: Final answer
    x = 49,463.91

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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.