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Finding the Third Proportional to 24,098 and 36,019

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Solution

The third proportional to 24,098 and 36,019 is: 53,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098 : 36,019 = 36,019 : x
  2. Step 2: Convert to fraction form
    24,098/36,019 = 36,019/x
  3. Step 3: Cross multiply
    24,098x = 36,019 × 36,019
  4. Step 4: Simplify right side
    24,098x = 1,297,368,361
  5. Step 5: Solve for x
    x = 1,297,368,361/24,098
  6. Step 6: Final answer
    x = 53,837.18

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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.