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Finding the Third Proportional to 26,761 and 58,597

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Solution

The third proportional to 26,761 and 58,597 is: 128,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761 : 58,597 = 58,597 : x
  2. Step 2: Convert to fraction form
    26,761/58,597 = 58,597/x
  3. Step 3: Cross multiply
    26,761x = 58,597 × 58,597
  4. Step 4: Simplify right side
    26,761x = 3,433,608,409
  5. Step 5: Solve for x
    x = 3,433,608,409/26,761
  6. Step 6: Final answer
    x = 128,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.