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Finding the Third Proportional to 5,317.31 and 6,750.84

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Solution

The third proportional to 5,317.31 and 6,750.84 is: 8,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.31 : 6,750.84 = 6,750.84 : x
  2. Step 2: Convert to fraction form
    5,317.31/6,750.84 = 6,750.84/x
  3. Step 3: Cross multiply
    5,317.31x = 6,750.84 × 6,750.84
  4. Step 4: Simplify right side
    5,317.31x = 45,573,891.34
  5. Step 5: Solve for x
    x = 45,573,891.34/5,317.31
  6. Step 6: Final answer
    x = 8,570.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.