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Finding the Third Proportional to 14,046 and 16,422

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Solution

The third proportional to 14,046 and 16,422 is: 19,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 16,422 = 16,422 : x
  2. Step 2: Convert to fraction form
    14,046/16,422 = 16,422/x
  3. Step 3: Cross multiply
    14,046x = 16,422 × 16,422
  4. Step 4: Simplify right side
    14,046x = 269,682,084
  5. Step 5: Solve for x
    x = 269,682,084/14,046
  6. Step 6: Final answer
    x = 19,199.92

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.