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Finding the Third Proportional to 26,350 and 41,711

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Solution

The third proportional to 26,350 and 41,711 is: 66,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,350 : 41,711 = 41,711 : x
  2. Step 2: Convert to fraction form
    26,350/41,711 = 41,711/x
  3. Step 3: Cross multiply
    26,350x = 41,711 × 41,711
  4. Step 4: Simplify right side
    26,350x = 1,739,807,521
  5. Step 5: Solve for x
    x = 1,739,807,521/26,350
  6. Step 6: Final answer
    x = 66,026.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.