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Finding the Third Proportional to 5,709.66 and 8,017.31

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Solution

The third proportional to 5,709.66 and 8,017.31 is: 11,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.66 : 8,017.31 = 8,017.31 : x
  2. Step 2: Convert to fraction form
    5,709.66/8,017.31 = 8,017.31/x
  3. Step 3: Cross multiply
    5,709.66x = 8,017.31 × 8,017.31
  4. Step 4: Simplify right side
    5,709.66x = 64,277,299.72
  5. Step 5: Solve for x
    x = 64,277,299.72/5,709.66
  6. Step 6: Final answer
    x = 11,257.65

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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.