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Finding the Third Proportional to 27,682 and 40,600

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Solution

The third proportional to 27,682 and 40,600 is: 59,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 40,600 = 40,600 : x
  2. Step 2: Convert to fraction form
    27,682/40,600 = 40,600/x
  3. Step 3: Cross multiply
    27,682x = 40,600 × 40,600
  4. Step 4: Simplify right side
    27,682x = 1,648,360,000
  5. Step 5: Solve for x
    x = 1,648,360,000/27,682
  6. Step 6: Final answer
    x = 59,546.28

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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.