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Finding the Third Proportional to 2,570 and 3,675

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Solution

The third proportional to 2,570 and 3,675 is: 5,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570 : 3,675 = 3,675 : x
  2. Step 2: Convert to fraction form
    2,570/3,675 = 3,675/x
  3. Step 3: Cross multiply
    2,570x = 3,675 × 3,675
  4. Step 4: Simplify right side
    2,570x = 13,505,625
  5. Step 5: Solve for x
    x = 13,505,625/2,570
  6. Step 6: Final answer
    x = 5,255.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.