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Finding the Third Proportional to 20,822 and 45,098

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Solution

The third proportional to 20,822 and 45,098 is: 97,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822 : 45,098 = 45,098 : x
  2. Step 2: Convert to fraction form
    20,822/45,098 = 45,098/x
  3. Step 3: Cross multiply
    20,822x = 45,098 × 45,098
  4. Step 4: Simplify right side
    20,822x = 2,033,829,604
  5. Step 5: Solve for x
    x = 2,033,829,604/20,822
  6. Step 6: Final answer
    x = 97,676.96

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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.