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Finding the Third Proportional to 40,586 and 60,714

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Solution

The third proportional to 40,586 and 60,714 is: 90,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,586 : 60,714 = 60,714 : x
  2. Step 2: Convert to fraction form
    40,586/60,714 = 60,714/x
  3. Step 3: Cross multiply
    40,586x = 60,714 × 60,714
  4. Step 4: Simplify right side
    40,586x = 3,686,189,796
  5. Step 5: Solve for x
    x = 3,686,189,796/40,586
  6. Step 6: Final answer
    x = 90,824.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.