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Finding the Third Proportional to 17,984 and 38,694

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Solution

The third proportional to 17,984 and 38,694 is: 83,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 38,694 = 38,694 : x
  2. Step 2: Convert to fraction form
    17,984/38,694 = 38,694/x
  3. Step 3: Cross multiply
    17,984x = 38,694 × 38,694
  4. Step 4: Simplify right side
    17,984x = 1,497,225,636
  5. Step 5: Solve for x
    x = 1,497,225,636/17,984
  6. Step 6: Final answer
    x = 83,253.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.