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Finding the Third Proportional to 24,554 and 49,792

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Solution

The third proportional to 24,554 and 49,792 is: 100,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,554 : 49,792 = 49,792 : x
  2. Step 2: Convert to fraction form
    24,554/49,792 = 49,792/x
  3. Step 3: Cross multiply
    24,554x = 49,792 × 49,792
  4. Step 4: Simplify right side
    24,554x = 2,479,243,264
  5. Step 5: Solve for x
    x = 2,479,243,264/24,554
  6. Step 6: Final answer
    x = 100,971.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.