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Finding the Third Proportional to 27,897 and 61,302

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Solution

The third proportional to 27,897 and 61,302 is: 134,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 61,302 = 61,302 : x
  2. Step 2: Convert to fraction form
    27,897/61,302 = 61,302/x
  3. Step 3: Cross multiply
    27,897x = 61,302 × 61,302
  4. Step 4: Simplify right side
    27,897x = 3,757,935,204
  5. Step 5: Solve for x
    x = 3,757,935,204/27,897
  6. Step 6: Final answer
    x = 134,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.