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Finding the Third Proportional to 26,897 and 57,487

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Solution

The third proportional to 26,897 and 57,487 is: 122,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,897 : 57,487 = 57,487 : x
  2. Step 2: Convert to fraction form
    26,897/57,487 = 57,487/x
  3. Step 3: Cross multiply
    26,897x = 57,487 × 57,487
  4. Step 4: Simplify right side
    26,897x = 3,304,755,169
  5. Step 5: Solve for x
    x = 3,304,755,169/26,897
  6. Step 6: Final answer
    x = 122,867.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.