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Finding the Third Proportional to 26,956 and 41,468

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Solution

The third proportional to 26,956 and 41,468 is: 63,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,956 : 41,468 = 41,468 : x
  2. Step 2: Convert to fraction form
    26,956/41,468 = 41,468/x
  3. Step 3: Cross multiply
    26,956x = 41,468 × 41,468
  4. Step 4: Simplify right side
    26,956x = 1,719,595,024
  5. Step 5: Solve for x
    x = 1,719,595,024/26,956
  6. Step 6: Final answer
    x = 63,792.66

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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.