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Finding the Third Proportional to 26,637 and 57,882

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Solution

The third proportional to 26,637 and 57,882 is: 125,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,637 : 57,882 = 57,882 : x
  2. Step 2: Convert to fraction form
    26,637/57,882 = 57,882/x
  3. Step 3: Cross multiply
    26,637x = 57,882 × 57,882
  4. Step 4: Simplify right side
    26,637x = 3,350,325,924
  5. Step 5: Solve for x
    x = 3,350,325,924/26,637
  6. Step 6: Final answer
    x = 125,777.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.