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Finding the Third Proportional to 17,966.25 and 38,727

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Solution

The third proportional to 17,966.25 and 38,727 is: 83,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.25 : 38,727 = 38,727 : x
  2. Step 2: Convert to fraction form
    17,966.25/38,727 = 38,727/x
  3. Step 3: Cross multiply
    17,966.25x = 38,727 × 38,727
  4. Step 4: Simplify right side
    17,966.25x = 1,499,780,529
  5. Step 5: Solve for x
    x = 1,499,780,529/17,966.25
  6. Step 6: Final answer
    x = 83,477.66

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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.