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Finding the Third Proportional to 27,216 and 41,605

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Solution

The third proportional to 27,216 and 41,605 is: 63,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 41,605 = 41,605 : x
  2. Step 2: Convert to fraction form
    27,216/41,605 = 41,605/x
  3. Step 3: Cross multiply
    27,216x = 41,605 × 41,605
  4. Step 4: Simplify right side
    27,216x = 1,730,976,025
  5. Step 5: Solve for x
    x = 1,730,976,025/27,216
  6. Step 6: Final answer
    x = 63,601.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.