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Finding the Third Proportional to 20,982 and 29,355

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Solution

The third proportional to 20,982 and 29,355 is: 41,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982 : 29,355 = 29,355 : x
  2. Step 2: Convert to fraction form
    20,982/29,355 = 29,355/x
  3. Step 3: Cross multiply
    20,982x = 29,355 × 29,355
  4. Step 4: Simplify right side
    20,982x = 861,716,025
  5. Step 5: Solve for x
    x = 861,716,025/20,982
  6. Step 6: Final answer
    x = 41,069.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.