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Finding the Third Proportional to 24,103 and 49,380

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Solution

The third proportional to 24,103 and 49,380 is: 101,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103 : 49,380 = 49,380 : x
  2. Step 2: Convert to fraction form
    24,103/49,380 = 49,380/x
  3. Step 3: Cross multiply
    24,103x = 49,380 × 49,380
  4. Step 4: Simplify right side
    24,103x = 2,438,384,400
  5. Step 5: Solve for x
    x = 2,438,384,400/24,103
  6. Step 6: Final answer
    x = 101,165.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.