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Finding the Third Proportional to 23,241 and 49,389

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Solution

The third proportional to 23,241 and 49,389 is: 104,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241 : 49,389 = 49,389 : x
  2. Step 2: Convert to fraction form
    23,241/49,389 = 49,389/x
  3. Step 3: Cross multiply
    23,241x = 49,389 × 49,389
  4. Step 4: Simplify right side
    23,241x = 2,439,273,321
  5. Step 5: Solve for x
    x = 2,439,273,321/23,241
  6. Step 6: Final answer
    x = 104,955.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.