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Finding the Third Proportional to 2,574 and 2,775

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Solution

The third proportional to 2,574 and 2,775 is: 2,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 2,775 = 2,775 : x
  2. Step 2: Convert to fraction form
    2,574/2,775 = 2,775/x
  3. Step 3: Cross multiply
    2,574x = 2,775 × 2,775
  4. Step 4: Simplify right side
    2,574x = 7,700,625
  5. Step 5: Solve for x
    x = 7,700,625/2,574
  6. Step 6: Final answer
    x = 2,991.70

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.