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Finding the Third Proportional to 27,232 and 39,767

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Solution

The third proportional to 27,232 and 39,767 is: 58,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 39,767 = 39,767 : x
  2. Step 2: Convert to fraction form
    27,232/39,767 = 39,767/x
  3. Step 3: Cross multiply
    27,232x = 39,767 × 39,767
  4. Step 4: Simplify right side
    27,232x = 1,581,414,289
  5. Step 5: Solve for x
    x = 1,581,414,289/27,232
  6. Step 6: Final answer
    x = 58,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.