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Finding the Third Proportional to 17,792 and 26,176

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Solution

The third proportional to 17,792 and 26,176 is: 38,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,792 : 26,176 = 26,176 : x
  2. Step 2: Convert to fraction form
    17,792/26,176 = 26,176/x
  3. Step 3: Cross multiply
    17,792x = 26,176 × 26,176
  4. Step 4: Simplify right side
    17,792x = 685,182,976
  5. Step 5: Solve for x
    x = 685,182,976/17,792
  6. Step 6: Final answer
    x = 38,510.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.