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Finding the Third Proportional to 2,713 and 4,022

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Solution

The third proportional to 2,713 and 4,022 is: 5,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713 : 4,022 = 4,022 : x
  2. Step 2: Convert to fraction form
    2,713/4,022 = 4,022/x
  3. Step 3: Cross multiply
    2,713x = 4,022 × 4,022
  4. Step 4: Simplify right side
    2,713x = 16,176,484
  5. Step 5: Solve for x
    x = 16,176,484/2,713
  6. Step 6: Final answer
    x = 5,962.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.