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Finding the Third Proportional to 27,720 and 32,760

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Solution

The third proportional to 27,720 and 32,760 is: 38,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 32,760 = 32,760 : x
  2. Step 2: Convert to fraction form
    27,720/32,760 = 32,760/x
  3. Step 3: Cross multiply
    27,720x = 32,760 × 32,760
  4. Step 4: Simplify right side
    27,720x = 1,073,217,600
  5. Step 5: Solve for x
    x = 1,073,217,600/27,720
  6. Step 6: Final answer
    x = 38,716.36

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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.