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Finding the Third Proportional to 20,996 and 45,496

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Solution

The third proportional to 20,996 and 45,496 is: 98,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 45,496 = 45,496 : x
  2. Step 2: Convert to fraction form
    20,996/45,496 = 45,496/x
  3. Step 3: Cross multiply
    20,996x = 45,496 × 45,496
  4. Step 4: Simplify right side
    20,996x = 2,069,886,016
  5. Step 5: Solve for x
    x = 2,069,886,016/20,996
  6. Step 6: Final answer
    x = 98,584.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.