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Finding the Third Proportional to 2,876 and 7,034

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Solution

The third proportional to 2,876 and 7,034 is: 17,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 7,034 = 7,034 : x
  2. Step 2: Convert to fraction form
    2,876/7,034 = 7,034/x
  3. Step 3: Cross multiply
    2,876x = 7,034 × 7,034
  4. Step 4: Simplify right side
    2,876x = 49,477,156
  5. Step 5: Solve for x
    x = 49,477,156/2,876
  6. Step 6: Final answer
    x = 17,203.46

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.