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Finding the Third Proportional to 27,216 and 38,522

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Solution

The third proportional to 27,216 and 38,522 is: 54,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 38,522 = 38,522 : x
  2. Step 2: Convert to fraction form
    27,216/38,522 = 38,522/x
  3. Step 3: Cross multiply
    27,216x = 38,522 × 38,522
  4. Step 4: Simplify right side
    27,216x = 1,483,944,484
  5. Step 5: Solve for x
    x = 1,483,944,484/27,216
  6. Step 6: Final answer
    x = 54,524.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.