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Finding the Third Proportional to 24,117 and 50,082

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Solution

The third proportional to 24,117 and 50,082 is: 104,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117 : 50,082 = 50,082 : x
  2. Step 2: Convert to fraction form
    24,117/50,082 = 50,082/x
  3. Step 3: Cross multiply
    24,117x = 50,082 × 50,082
  4. Step 4: Simplify right side
    24,117x = 2,508,206,724
  5. Step 5: Solve for x
    x = 2,508,206,724/24,117
  6. Step 6: Final answer
    x = 104,001.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.