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Finding the Third Proportional to 20,377 and 30,982

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Solution

The third proportional to 20,377 and 30,982 is: 47,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377 : 30,982 = 30,982 : x
  2. Step 2: Convert to fraction form
    20,377/30,982 = 30,982/x
  3. Step 3: Cross multiply
    20,377x = 30,982 × 30,982
  4. Step 4: Simplify right side
    20,377x = 959,884,324
  5. Step 5: Solve for x
    x = 959,884,324/20,377
  6. Step 6: Final answer
    x = 47,106.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.