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Finding the Third Proportional to 27,422 and 41,061

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Solution

The third proportional to 27,422 and 41,061 is: 61,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 41,061 = 41,061 : x
  2. Step 2: Convert to fraction form
    27,422/41,061 = 41,061/x
  3. Step 3: Cross multiply
    27,422x = 41,061 × 41,061
  4. Step 4: Simplify right side
    27,422x = 1,686,005,721
  5. Step 5: Solve for x
    x = 1,686,005,721/27,422
  6. Step 6: Final answer
    x = 61,483.69

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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.