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Finding the Third Proportional to 27,714 and 40,110

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Solution

The third proportional to 27,714 and 40,110 is: 58,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 40,110 = 40,110 : x
  2. Step 2: Convert to fraction form
    27,714/40,110 = 40,110/x
  3. Step 3: Cross multiply
    27,714x = 40,110 × 40,110
  4. Step 4: Simplify right side
    27,714x = 1,608,812,100
  5. Step 5: Solve for x
    x = 1,608,812,100/27,714
  6. Step 6: Final answer
    x = 58,050.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.