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Finding the Third Proportional to 17,792 and 19,264

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Solution

The third proportional to 17,792 and 19,264 is: 20,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,792 : 19,264 = 19,264 : x
  2. Step 2: Convert to fraction form
    17,792/19,264 = 19,264/x
  3. Step 3: Cross multiply
    17,792x = 19,264 × 19,264
  4. Step 4: Simplify right side
    17,792x = 371,101,696
  5. Step 5: Solve for x
    x = 371,101,696/17,792
  6. Step 6: Final answer
    x = 20,857.78

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.