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Finding the Third Proportional to 6,734.25 and 9,420.75

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Solution

The third proportional to 6,734.25 and 9,420.75 is: 13,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.25 : 9,420.75 = 9,420.75 : x
  2. Step 2: Convert to fraction form
    6,734.25/9,420.75 = 9,420.75/x
  3. Step 3: Cross multiply
    6,734.25x = 9,420.75 × 9,420.75
  4. Step 4: Simplify right side
    6,734.25x = 88,750,530.56
  5. Step 5: Solve for x
    x = 88,750,530.56/6,734.25
  6. Step 6: Final answer
    x = 13,178.98

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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.