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Finding the Third Proportional to 2,870 and 5,494

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Solution

The third proportional to 2,870 and 5,494 is: 10,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870 : 5,494 = 5,494 : x
  2. Step 2: Convert to fraction form
    2,870/5,494 = 5,494/x
  3. Step 3: Cross multiply
    2,870x = 5,494 × 5,494
  4. Step 4: Simplify right side
    2,870x = 30,184,036
  5. Step 5: Solve for x
    x = 30,184,036/2,870
  6. Step 6: Final answer
    x = 10,517.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.