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Finding the Third Proportional to 19,812 and 30,930

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Solution

The third proportional to 19,812 and 30,930 is: 48,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 30,930 = 30,930 : x
  2. Step 2: Convert to fraction form
    19,812/30,930 = 30,930/x
  3. Step 3: Cross multiply
    19,812x = 30,930 × 30,930
  4. Step 4: Simplify right side
    19,812x = 956,664,900
  5. Step 5: Solve for x
    x = 956,664,900/19,812
  6. Step 6: Final answer
    x = 48,287.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.