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Finding the Third Proportional to 20,970 and 31,371

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Solution

The third proportional to 20,970 and 31,371 is: 46,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 31,371 = 31,371 : x
  2. Step 2: Convert to fraction form
    20,970/31,371 = 31,371/x
  3. Step 3: Cross multiply
    20,970x = 31,371 × 31,371
  4. Step 4: Simplify right side
    20,970x = 984,139,641
  5. Step 5: Solve for x
    x = 984,139,641/20,970
  6. Step 6: Final answer
    x = 46,930.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.