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Finding the Third Proportional to 10,660 and 23,420

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Solution

The third proportional to 10,660 and 23,420 is: 51,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660 : 23,420 = 23,420 : x
  2. Step 2: Convert to fraction form
    10,660/23,420 = 23,420/x
  3. Step 3: Cross multiply
    10,660x = 23,420 × 23,420
  4. Step 4: Simplify right side
    10,660x = 548,496,400
  5. Step 5: Solve for x
    x = 548,496,400/10,660
  6. Step 6: Final answer
    x = 51,453.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.