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Finding the Third Proportional to 27,492 and 41,074

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Solution

The third proportional to 27,492 and 41,074 is: 61,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 41,074 = 41,074 : x
  2. Step 2: Convert to fraction form
    27,492/41,074 = 41,074/x
  3. Step 3: Cross multiply
    27,492x = 41,074 × 41,074
  4. Step 4: Simplify right side
    27,492x = 1,687,073,476
  5. Step 5: Solve for x
    x = 1,687,073,476/27,492
  6. Step 6: Final answer
    x = 61,365.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.