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Finding the Third Proportional to 26,686 and 38,650

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Solution

The third proportional to 26,686 and 38,650 is: 55,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686 : 38,650 = 38,650 : x
  2. Step 2: Convert to fraction form
    26,686/38,650 = 38,650/x
  3. Step 3: Cross multiply
    26,686x = 38,650 × 38,650
  4. Step 4: Simplify right side
    26,686x = 1,493,822,500
  5. Step 5: Solve for x
    x = 1,493,822,500/26,686
  6. Step 6: Final answer
    x = 55,977.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.