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Finding the Third Proportional to 3,934.50 and 5,769.75

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Solution

The third proportional to 3,934.50 and 5,769.75 is: 8,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.50 : 5,769.75 = 5,769.75 : x
  2. Step 2: Convert to fraction form
    3,934.50/5,769.75 = 5,769.75/x
  3. Step 3: Cross multiply
    3,934.50x = 5,769.75 × 5,769.75
  4. Step 4: Simplify right side
    3,934.50x = 33,290,015.06
  5. Step 5: Solve for x
    x = 33,290,015.06/3,934.50
  6. Step 6: Final answer
    x = 8,461.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.