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Finding the Third Proportional to 3,935.25 and 5,508.84

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Solution

The third proportional to 3,935.25 and 5,508.84 is: 7,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.25 : 5,508.84 = 5,508.84 : x
  2. Step 2: Convert to fraction form
    3,935.25/5,508.84 = 5,508.84/x
  3. Step 3: Cross multiply
    3,935.25x = 5,508.84 × 5,508.84
  4. Step 4: Simplify right side
    3,935.25x = 30,347,359.46
  5. Step 5: Solve for x
    x = 30,347,359.46/3,935.25
  6. Step 6: Final answer
    x = 7,711.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.