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Finding the Third Proportional to 17,728 and 38,376

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Solution

The third proportional to 17,728 and 38,376 is: 83,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728 : 38,376 = 38,376 : x
  2. Step 2: Convert to fraction form
    17,728/38,376 = 38,376/x
  3. Step 3: Cross multiply
    17,728x = 38,376 × 38,376
  4. Step 4: Simplify right side
    17,728x = 1,472,717,376
  5. Step 5: Solve for x
    x = 1,472,717,376/17,728
  6. Step 6: Final answer
    x = 83,072.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.