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Finding the Third Proportional to 1,310.87 and 2,834.37

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Solution

The third proportional to 1,310.87 and 2,834.37 is: 6,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.87 : 2,834.37 = 2,834.37 : x
  2. Step 2: Convert to fraction form
    1,310.87/2,834.37 = 2,834.37/x
  3. Step 3: Cross multiply
    1,310.87x = 2,834.37 × 2,834.37
  4. Step 4: Simplify right side
    1,310.87x = 8,033,637.35
  5. Step 5: Solve for x
    x = 8,033,637.35/1,310.87
  6. Step 6: Final answer
    x = 6,128.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.