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Finding the Third Proportional to 26,932 and 41,858

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Solution

The third proportional to 26,932 and 41,858 is: 65,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932 : 41,858 = 41,858 : x
  2. Step 2: Convert to fraction form
    26,932/41,858 = 41,858/x
  3. Step 3: Cross multiply
    26,932x = 41,858 × 41,858
  4. Step 4: Simplify right side
    26,932x = 1,752,092,164
  5. Step 5: Solve for x
    x = 1,752,092,164/26,932
  6. Step 6: Final answer
    x = 65,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.