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Finding the Third Proportional to 21,676 and 29,274

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Solution

The third proportional to 21,676 and 29,274 is: 39,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676 : 29,274 = 29,274 : x
  2. Step 2: Convert to fraction form
    21,676/29,274 = 29,274/x
  3. Step 3: Cross multiply
    21,676x = 29,274 × 29,274
  4. Step 4: Simplify right side
    21,676x = 856,967,076
  5. Step 5: Solve for x
    x = 856,967,076/21,676
  6. Step 6: Final answer
    x = 39,535.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.