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Finding the Third Proportional to 2,882 and 6,734.50

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Solution

The third proportional to 2,882 and 6,734.50 is: 15,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882 : 6,734.50 = 6,734.50 : x
  2. Step 2: Convert to fraction form
    2,882/6,734.50 = 6,734.50/x
  3. Step 3: Cross multiply
    2,882x = 6,734.50 × 6,734.50
  4. Step 4: Simplify right side
    2,882x = 45,353,490.25
  5. Step 5: Solve for x
    x = 45,353,490.25/2,882
  6. Step 6: Final answer
    x = 15,736.81

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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.