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Finding the Third Proportional to 17,986.50 and 38,565

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Solution

The third proportional to 17,986.50 and 38,565 is: 82,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.50 : 38,565 = 38,565 : x
  2. Step 2: Convert to fraction form
    17,986.50/38,565 = 38,565/x
  3. Step 3: Cross multiply
    17,986.50x = 38,565 × 38,565
  4. Step 4: Simplify right side
    17,986.50x = 1,487,259,225
  5. Step 5: Solve for x
    x = 1,487,259,225/17,986.50
  6. Step 6: Final answer
    x = 82,687.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.