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Finding the Third Proportional to 24,100 and 36,022

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Solution

The third proportional to 24,100 and 36,022 is: 53,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100 : 36,022 = 36,022 : x
  2. Step 2: Convert to fraction form
    24,100/36,022 = 36,022/x
  3. Step 3: Cross multiply
    24,100x = 36,022 × 36,022
  4. Step 4: Simplify right side
    24,100x = 1,297,584,484
  5. Step 5: Solve for x
    x = 1,297,584,484/24,100
  6. Step 6: Final answer
    x = 53,841.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.