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Finding the Third Proportional to 2,256 and 2,598

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Solution

The third proportional to 2,256 and 2,598 is: 2,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 2,598 = 2,598 : x
  2. Step 2: Convert to fraction form
    2,256/2,598 = 2,598/x
  3. Step 3: Cross multiply
    2,256x = 2,598 × 2,598
  4. Step 4: Simplify right side
    2,256x = 6,749,604
  5. Step 5: Solve for x
    x = 6,749,604/2,256
  6. Step 6: Final answer
    x = 2,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.