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Finding the Third Proportional to 11,814 and 16,037

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Solution

The third proportional to 11,814 and 16,037 is: 21,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 16,037 = 16,037 : x
  2. Step 2: Convert to fraction form
    11,814/16,037 = 16,037/x
  3. Step 3: Cross multiply
    11,814x = 16,037 × 16,037
  4. Step 4: Simplify right side
    11,814x = 257,185,369
  5. Step 5: Solve for x
    x = 257,185,369/11,814
  6. Step 6: Final answer
    x = 21,769.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.