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Finding the Third Proportional to 3,839.50 and 6,016.25

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Solution

The third proportional to 3,839.50 and 6,016.25 is: 9,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.50 : 6,016.25 = 6,016.25 : x
  2. Step 2: Convert to fraction form
    3,839.50/6,016.25 = 6,016.25/x
  3. Step 3: Cross multiply
    3,839.50x = 6,016.25 × 6,016.25
  4. Step 4: Simplify right side
    3,839.50x = 36,195,264.06
  5. Step 5: Solve for x
    x = 36,195,264.06/3,839.50
  6. Step 6: Final answer
    x = 9,427.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.