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Finding the Third Proportional to 20,215 and 30,900

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Solution

The third proportional to 20,215 and 30,900 is: 47,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215 : 30,900 = 30,900 : x
  2. Step 2: Convert to fraction form
    20,215/30,900 = 30,900/x
  3. Step 3: Cross multiply
    20,215x = 30,900 × 30,900
  4. Step 4: Simplify right side
    20,215x = 954,810,000
  5. Step 5: Solve for x
    x = 954,810,000/20,215
  6. Step 6: Final answer
    x = 47,232.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.