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Finding the Third Proportional to 26,414 and 40,918

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Solution

The third proportional to 26,414 and 40,918 is: 63,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414 : 40,918 = 40,918 : x
  2. Step 2: Convert to fraction form
    26,414/40,918 = 40,918/x
  3. Step 3: Cross multiply
    26,414x = 40,918 × 40,918
  4. Step 4: Simplify right side
    26,414x = 1,674,282,724
  5. Step 5: Solve for x
    x = 1,674,282,724/26,414
  6. Step 6: Final answer
    x = 63,386.19

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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.