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Finding the Third Proportional to 20,400 and 30,660

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Solution

The third proportional to 20,400 and 30,660 is: 46,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400 : 30,660 = 30,660 : x
  2. Step 2: Convert to fraction form
    20,400/30,660 = 30,660/x
  3. Step 3: Cross multiply
    20,400x = 30,660 × 30,660
  4. Step 4: Simplify right side
    20,400x = 940,035,600
  5. Step 5: Solve for x
    x = 940,035,600/20,400
  6. Step 6: Final answer
    x = 46,080.18

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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.