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Finding the Third Proportional to 27,306 and 41,463

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Solution

The third proportional to 27,306 and 41,463 is: 62,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306 : 41,463 = 41,463 : x
  2. Step 2: Convert to fraction form
    27,306/41,463 = 41,463/x
  3. Step 3: Cross multiply
    27,306x = 41,463 × 41,463
  4. Step 4: Simplify right side
    27,306x = 1,719,180,369
  5. Step 5: Solve for x
    x = 1,719,180,369/27,306
  6. Step 6: Final answer
    x = 62,959.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.