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Finding the Third Proportional to 26,867 and 58,591

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Solution

The third proportional to 26,867 and 58,591 is: 127,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,867 : 58,591 = 58,591 : x
  2. Step 2: Convert to fraction form
    26,867/58,591 = 58,591/x
  3. Step 3: Cross multiply
    26,867x = 58,591 × 58,591
  4. Step 4: Simplify right side
    26,867x = 3,432,905,281
  5. Step 5: Solve for x
    x = 3,432,905,281/26,867
  6. Step 6: Final answer
    x = 127,774.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.