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Finding the Third Proportional to 27,732 and 32,592

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Solution

The third proportional to 27,732 and 32,592 is: 38,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 32,592 = 32,592 : x
  2. Step 2: Convert to fraction form
    27,732/32,592 = 32,592/x
  3. Step 3: Cross multiply
    27,732x = 32,592 × 32,592
  4. Step 4: Simplify right side
    27,732x = 1,062,238,464
  5. Step 5: Solve for x
    x = 1,062,238,464/27,732
  6. Step 6: Final answer
    x = 38,303.71

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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.