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Finding the Third Proportional to 3,393 and 5,317.50

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Solution

The third proportional to 3,393 and 5,317.50 is: 8,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393 : 5,317.50 = 5,317.50 : x
  2. Step 2: Convert to fraction form
    3,393/5,317.50 = 5,317.50/x
  3. Step 3: Cross multiply
    3,393x = 5,317.50 × 5,317.50
  4. Step 4: Simplify right side
    3,393x = 28,275,806.25
  5. Step 5: Solve for x
    x = 28,275,806.25/3,393
  6. Step 6: Final answer
    x = 8,333.57

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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.