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Finding the Third Proportional to 2,138 and 3,754

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Solution

The third proportional to 2,138 and 3,754 is: 6,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 3,754 = 3,754 : x
  2. Step 2: Convert to fraction form
    2,138/3,754 = 3,754/x
  3. Step 3: Cross multiply
    2,138x = 3,754 × 3,754
  4. Step 4: Simplify right side
    2,138x = 14,092,516
  5. Step 5: Solve for x
    x = 14,092,516/2,138
  6. Step 6: Final answer
    x = 6,591.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.