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Finding the Third Proportional to 24,105 and 49,385

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Solution

The third proportional to 24,105 and 49,385 is: 101,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105 : 49,385 = 49,385 : x
  2. Step 2: Convert to fraction form
    24,105/49,385 = 49,385/x
  3. Step 3: Cross multiply
    24,105x = 49,385 × 49,385
  4. Step 4: Simplify right side
    24,105x = 2,438,878,225
  5. Step 5: Solve for x
    x = 2,438,878,225/24,105
  6. Step 6: Final answer
    x = 101,177.28

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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.