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Finding the Third Proportional to 3,713 and 4,037

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Solution

The third proportional to 3,713 and 4,037 is: 4,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713 : 4,037 = 4,037 : x
  2. Step 2: Convert to fraction form
    3,713/4,037 = 4,037/x
  3. Step 3: Cross multiply
    3,713x = 4,037 × 4,037
  4. Step 4: Simplify right side
    3,713x = 16,297,369
  5. Step 5: Solve for x
    x = 16,297,369/3,713
  6. Step 6: Final answer
    x = 4,389.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.