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Finding the Third Proportional to 20,560 and 30,808

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Solution

The third proportional to 20,560 and 30,808 is: 46,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 30,808 = 30,808 : x
  2. Step 2: Convert to fraction form
    20,560/30,808 = 30,808/x
  3. Step 3: Cross multiply
    20,560x = 30,808 × 30,808
  4. Step 4: Simplify right side
    20,560x = 949,132,864
  5. Step 5: Solve for x
    x = 949,132,864/20,560
  6. Step 6: Final answer
    x = 46,164.05

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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.