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Finding the Third Proportional to 27,072 and 41,376

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Solution

The third proportional to 27,072 and 41,376 is: 63,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 41,376 = 41,376 : x
  2. Step 2: Convert to fraction form
    27,072/41,376 = 41,376/x
  3. Step 3: Cross multiply
    27,072x = 41,376 × 41,376
  4. Step 4: Simplify right side
    27,072x = 1,711,973,376
  5. Step 5: Solve for x
    x = 1,711,973,376/27,072
  6. Step 6: Final answer
    x = 63,237.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.