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Finding the Third Proportional to 5,163 and 8,207.25

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Solution

The third proportional to 5,163 and 8,207.25 is: 13,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163 : 8,207.25 = 8,207.25 : x
  2. Step 2: Convert to fraction form
    5,163/8,207.25 = 8,207.25/x
  3. Step 3: Cross multiply
    5,163x = 8,207.25 × 8,207.25
  4. Step 4: Simplify right side
    5,163x = 67,358,952.56
  5. Step 5: Solve for x
    x = 67,358,952.56/5,163
  6. Step 6: Final answer
    x = 13,046.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.