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Finding the Third Proportional to 19,980 and 30,034

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Solution

The third proportional to 19,980 and 30,034 is: 45,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 30,034 = 30,034 : x
  2. Step 2: Convert to fraction form
    19,980/30,034 = 30,034/x
  3. Step 3: Cross multiply
    19,980x = 30,034 × 30,034
  4. Step 4: Simplify right side
    19,980x = 902,041,156
  5. Step 5: Solve for x
    x = 902,041,156/19,980
  6. Step 6: Final answer
    x = 45,147.21

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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.