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Finding the Third Proportional to 2,876.84 and 4,318.11

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Solution

The third proportional to 2,876.84 and 4,318.11 is: 6,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.84 : 4,318.11 = 4,318.11 : x
  2. Step 2: Convert to fraction form
    2,876.84/4,318.11 = 4,318.11/x
  3. Step 3: Cross multiply
    2,876.84x = 4,318.11 × 4,318.11
  4. Step 4: Simplify right side
    2,876.84x = 18,646,114.96
  5. Step 5: Solve for x
    x = 18,646,114.96/2,876.84
  6. Step 6: Final answer
    x = 6,481.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.