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Finding the Third Proportional to 27,567 and 32,427

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Solution

The third proportional to 27,567 and 32,427 is: 38,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 32,427 = 32,427 : x
  2. Step 2: Convert to fraction form
    27,567/32,427 = 32,427/x
  3. Step 3: Cross multiply
    27,567x = 32,427 × 32,427
  4. Step 4: Simplify right side
    27,567x = 1,051,510,329
  5. Step 5: Solve for x
    x = 1,051,510,329/27,567
  6. Step 6: Final answer
    x = 38,143.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.