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Finding the Third Proportional to 27,124 and 49,748

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Solution

The third proportional to 27,124 and 49,748 is: 91,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 49,748 = 49,748 : x
  2. Step 2: Convert to fraction form
    27,124/49,748 = 49,748/x
  3. Step 3: Cross multiply
    27,124x = 49,748 × 49,748
  4. Step 4: Simplify right side
    27,124x = 2,474,863,504
  5. Step 5: Solve for x
    x = 2,474,863,504/27,124
  6. Step 6: Final answer
    x = 91,242.57

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.