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Finding the Third Proportional to 21,212 and 40,496

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Solution

The third proportional to 21,212 and 40,496 is: 77,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 40,496 = 40,496 : x
  2. Step 2: Convert to fraction form
    21,212/40,496 = 40,496/x
  3. Step 3: Cross multiply
    21,212x = 40,496 × 40,496
  4. Step 4: Simplify right side
    21,212x = 1,639,926,016
  5. Step 5: Solve for x
    x = 1,639,926,016/21,212
  6. Step 6: Final answer
    x = 77,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.