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Finding the Third Proportional to 27,497 and 59,251

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Solution

The third proportional to 27,497 and 59,251 is: 127,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497 : 59,251 = 59,251 : x
  2. Step 2: Convert to fraction form
    27,497/59,251 = 59,251/x
  3. Step 3: Cross multiply
    27,497x = 59,251 × 59,251
  4. Step 4: Simplify right side
    27,497x = 3,510,681,001
  5. Step 5: Solve for x
    x = 3,510,681,001/27,497
  6. Step 6: Final answer
    x = 127,675.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.