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Finding the Third Proportional to 14,022 and 20,911

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Solution

The third proportional to 14,022 and 20,911 is: 31,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 20,911 = 20,911 : x
  2. Step 2: Convert to fraction form
    14,022/20,911 = 20,911/x
  3. Step 3: Cross multiply
    14,022x = 20,911 × 20,911
  4. Step 4: Simplify right side
    14,022x = 437,269,921
  5. Step 5: Solve for x
    x = 437,269,921/14,022
  6. Step 6: Final answer
    x = 31,184.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.