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Finding the Third Proportional to 3,141.28 and 4,928.34

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Solution

The third proportional to 3,141.28 and 4,928.34 is: 7,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.28 : 4,928.34 = 4,928.34 : x
  2. Step 2: Convert to fraction form
    3,141.28/4,928.34 = 4,928.34/x
  3. Step 3: Cross multiply
    3,141.28x = 4,928.34 × 4,928.34
  4. Step 4: Simplify right side
    3,141.28x = 24,288,572.12
  5. Step 5: Solve for x
    x = 24,288,572.12/3,141.28
  6. Step 6: Final answer
    x = 7,732.06

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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.