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Finding the Third Proportional to 24,022 and 38,597

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Solution

The third proportional to 24,022 and 38,597 is: 62,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022 : 38,597 = 38,597 : x
  2. Step 2: Convert to fraction form
    24,022/38,597 = 38,597/x
  3. Step 3: Cross multiply
    24,022x = 38,597 × 38,597
  4. Step 4: Simplify right side
    24,022x = 1,489,728,409
  5. Step 5: Solve for x
    x = 1,489,728,409/24,022
  6. Step 6: Final answer
    x = 62,015.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.