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Finding the Third Proportional to 1,711 and 4,037

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Solution

The third proportional to 1,711 and 4,037 is: 9,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711 : 4,037 = 4,037 : x
  2. Step 2: Convert to fraction form
    1,711/4,037 = 4,037/x
  3. Step 3: Cross multiply
    1,711x = 4,037 × 4,037
  4. Step 4: Simplify right side
    1,711x = 16,297,369
  5. Step 5: Solve for x
    x = 16,297,369/1,711
  6. Step 6: Final answer
    x = 9,525.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.