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Finding the Third Proportional to 27,218 and 31,538

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Solution

The third proportional to 27,218 and 31,538 is: 36,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218 : 31,538 = 31,538 : x
  2. Step 2: Convert to fraction form
    27,218/31,538 = 31,538/x
  3. Step 3: Cross multiply
    27,218x = 31,538 × 31,538
  4. Step 4: Simplify right side
    27,218x = 994,645,444
  5. Step 5: Solve for x
    x = 994,645,444/27,218
  6. Step 6: Final answer
    x = 36,543.66

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.