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Finding the Third Proportional to 27,702 and 41,442

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Solution

The third proportional to 27,702 and 41,442 is: 61,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 41,442 = 41,442 : x
  2. Step 2: Convert to fraction form
    27,702/41,442 = 41,442/x
  3. Step 3: Cross multiply
    27,702x = 41,442 × 41,442
  4. Step 4: Simplify right side
    27,702x = 1,717,439,364
  5. Step 5: Solve for x
    x = 1,717,439,364/27,702
  6. Step 6: Final answer
    x = 61,996.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.