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Finding the Third Proportional to 6,734.25 and 15,729.75

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Solution

The third proportional to 6,734.25 and 15,729.75 is: 36,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.25 : 15,729.75 = 15,729.75 : x
  2. Step 2: Convert to fraction form
    6,734.25/15,729.75 = 15,729.75/x
  3. Step 3: Cross multiply
    6,734.25x = 15,729.75 × 15,729.75
  4. Step 4: Simplify right side
    6,734.25x = 247,425,035.06
  5. Step 5: Solve for x
    x = 247,425,035.06/6,734.25
  6. Step 6: Final answer
    x = 36,741.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.