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Finding the Third Proportional to 19,072.18 and 38,663.34

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Solution

The third proportional to 19,072.18 and 38,663.34 is: 78,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.18 : 38,663.34 = 38,663.34 : x
  2. Step 2: Convert to fraction form
    19,072.18/38,663.34 = 38,663.34/x
  3. Step 3: Cross multiply
    19,072.18x = 38,663.34 × 38,663.34
  4. Step 4: Simplify right side
    19,072.18x = 1,494,853,923.39
  5. Step 5: Solve for x
    x = 1,494,853,923.39/19,072.18
  6. Step 6: Final answer
    x = 78,378.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.