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Finding the Third Proportional to 17,397 and 38,133

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Solution

The third proportional to 17,397 and 38,133 is: 83,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,397 : 38,133 = 38,133 : x
  2. Step 2: Convert to fraction form
    17,397/38,133 = 38,133/x
  3. Step 3: Cross multiply
    17,397x = 38,133 × 38,133
  4. Step 4: Simplify right side
    17,397x = 1,454,125,689
  5. Step 5: Solve for x
    x = 1,454,125,689/17,397
  6. Step 6: Final answer
    x = 83,584.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.