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Finding the Third Proportional to 3,754 and 5,037

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Solution

The third proportional to 3,754 and 5,037 is: 6,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,037 = 5,037 : x
  2. Step 2: Convert to fraction form
    3,754/5,037 = 5,037/x
  3. Step 3: Cross multiply
    3,754x = 5,037 × 5,037
  4. Step 4: Simplify right side
    3,754x = 25,371,369
  5. Step 5: Solve for x
    x = 25,371,369/3,754
  6. Step 6: Final answer
    x = 6,758.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.