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Finding the Third Proportional to 20,496 and 31,336

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Solution

The third proportional to 20,496 and 31,336 is: 47,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 31,336 = 31,336 : x
  2. Step 2: Convert to fraction form
    20,496/31,336 = 31,336/x
  3. Step 3: Cross multiply
    20,496x = 31,336 × 31,336
  4. Step 4: Simplify right side
    20,496x = 981,944,896
  5. Step 5: Solve for x
    x = 981,944,896/20,496
  6. Step 6: Final answer
    x = 47,909.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.