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Finding the Third Proportional to 40,497 and 89,022

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Solution

The third proportional to 40,497 and 89,022 is: 195,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,497 : 89,022 = 89,022 : x
  2. Step 2: Convert to fraction form
    40,497/89,022 = 89,022/x
  3. Step 3: Cross multiply
    40,497x = 89,022 × 89,022
  4. Step 4: Simplify right side
    40,497x = 7,924,916,484
  5. Step 5: Solve for x
    x = 7,924,916,484/40,497
  6. Step 6: Final answer
    x = 195,691.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.