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Finding the Third Proportional to 27,724 and 40,734

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Solution

The third proportional to 27,724 and 40,734 is: 59,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 40,734 = 40,734 : x
  2. Step 2: Convert to fraction form
    27,724/40,734 = 40,734/x
  3. Step 3: Cross multiply
    27,724x = 40,734 × 40,734
  4. Step 4: Simplify right side
    27,724x = 1,659,258,756
  5. Step 5: Solve for x
    x = 1,659,258,756/27,724
  6. Step 6: Final answer
    x = 59,849.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.