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Finding the Third Proportional to 10,076 and 14,204

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Solution

The third proportional to 10,076 and 14,204 is: 20,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076 : 14,204 = 14,204 : x
  2. Step 2: Convert to fraction form
    10,076/14,204 = 14,204/x
  3. Step 3: Cross multiply
    10,076x = 14,204 × 14,204
  4. Step 4: Simplify right side
    10,076x = 201,753,616
  5. Step 5: Solve for x
    x = 201,753,616/10,076
  6. Step 6: Final answer
    x = 20,023.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.