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Finding the Third Proportional to 26,442 and 41,274

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Solution

The third proportional to 26,442 and 41,274 is: 64,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442 : 41,274 = 41,274 : x
  2. Step 2: Convert to fraction form
    26,442/41,274 = 41,274/x
  3. Step 3: Cross multiply
    26,442x = 41,274 × 41,274
  4. Step 4: Simplify right side
    26,442x = 1,703,543,076
  5. Step 5: Solve for x
    x = 1,703,543,076/26,442
  6. Step 6: Final answer
    x = 64,425.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.