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Finding the Third Proportional to 14,024 and 20,284

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Solution

The third proportional to 14,024 and 20,284 is: 29,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 20,284 = 20,284 : x
  2. Step 2: Convert to fraction form
    14,024/20,284 = 20,284/x
  3. Step 3: Cross multiply
    14,024x = 20,284 × 20,284
  4. Step 4: Simplify right side
    14,024x = 411,440,656
  5. Step 5: Solve for x
    x = 411,440,656/14,024
  6. Step 6: Final answer
    x = 29,338.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.