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Finding the Third Proportional to 27,758 and 40,125

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Solution

The third proportional to 27,758 and 40,125 is: 58,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 40,125 = 40,125 : x
  2. Step 2: Convert to fraction form
    27,758/40,125 = 40,125/x
  3. Step 3: Cross multiply
    27,758x = 40,125 × 40,125
  4. Step 4: Simplify right side
    27,758x = 1,610,015,625
  5. Step 5: Solve for x
    x = 1,610,015,625/27,758
  6. Step 6: Final answer
    x = 58,001.86

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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.