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Finding the Third Proportional to 26,650 and 41,012

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Solution

The third proportional to 26,650 and 41,012 is: 63,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650 : 41,012 = 41,012 : x
  2. Step 2: Convert to fraction form
    26,650/41,012 = 41,012/x
  3. Step 3: Cross multiply
    26,650x = 41,012 × 41,012
  4. Step 4: Simplify right side
    26,650x = 1,681,984,144
  5. Step 5: Solve for x
    x = 1,681,984,144/26,650
  6. Step 6: Final answer
    x = 63,113.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.