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Finding the Third Proportional to 26,714 and 40,701

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Solution

The third proportional to 26,714 and 40,701 is: 62,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,714 : 40,701 = 40,701 : x
  2. Step 2: Convert to fraction form
    26,714/40,701 = 40,701/x
  3. Step 3: Cross multiply
    26,714x = 40,701 × 40,701
  4. Step 4: Simplify right side
    26,714x = 1,656,571,401
  5. Step 5: Solve for x
    x = 1,656,571,401/26,714
  6. Step 6: Final answer
    x = 62,011.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.