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Finding the Third Proportional to 12,076 and 20,982

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Solution

The third proportional to 12,076 and 20,982 is: 36,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 20,982 = 20,982 : x
  2. Step 2: Convert to fraction form
    12,076/20,982 = 20,982/x
  3. Step 3: Cross multiply
    12,076x = 20,982 × 20,982
  4. Step 4: Simplify right side
    12,076x = 440,244,324
  5. Step 5: Solve for x
    x = 440,244,324/12,076
  6. Step 6: Final answer
    x = 36,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.