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Finding the Third Proportional to 2,713 and 3,685.75

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Solution

The third proportional to 2,713 and 3,685.75 is: 5,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713 : 3,685.75 = 3,685.75 : x
  2. Step 2: Convert to fraction form
    2,713/3,685.75 = 3,685.75/x
  3. Step 3: Cross multiply
    2,713x = 3,685.75 × 3,685.75
  4. Step 4: Simplify right side
    2,713x = 13,584,753.06
  5. Step 5: Solve for x
    x = 13,584,753.06/2,713
  6. Step 6: Final answer
    x = 5,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.