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Finding the Third Proportional to 3,141.28 and 5,228.30

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Solution

The third proportional to 3,141.28 and 5,228.30 is: 8,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.28 : 5,228.30 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    3,141.28/5,228.30 = 5,228.30/x
  3. Step 3: Cross multiply
    3,141.28x = 5,228.30 × 5,228.30
  4. Step 4: Simplify right side
    3,141.28x = 27,335,088.21
  5. Step 5: Solve for x
    x = 27,335,088.21/3,141.28
  6. Step 6: Final answer
    x = 8,701.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.