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Finding the Third Proportional to 2,039 and 2,875

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Solution

The third proportional to 2,039 and 2,875 is: 4,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 2,875 = 2,875 : x
  2. Step 2: Convert to fraction form
    2,039/2,875 = 2,875/x
  3. Step 3: Cross multiply
    2,039x = 2,875 × 2,875
  4. Step 4: Simplify right side
    2,039x = 8,265,625
  5. Step 5: Solve for x
    x = 8,265,625/2,039
  6. Step 6: Final answer
    x = 4,053.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.