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Finding the Third Proportional to 17,996.50 and 39,919

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Solution

The third proportional to 17,996.50 and 39,919 is: 88,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.50 : 39,919 = 39,919 : x
  2. Step 2: Convert to fraction form
    17,996.50/39,919 = 39,919/x
  3. Step 3: Cross multiply
    17,996.50x = 39,919 × 39,919
  4. Step 4: Simplify right side
    17,996.50x = 1,593,526,561
  5. Step 5: Solve for x
    x = 1,593,526,561/17,996.50
  6. Step 6: Final answer
    x = 88,546.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.