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Finding the Third Proportional to 19,533 and 38,094

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Solution

The third proportional to 19,533 and 38,094 is: 74,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533 : 38,094 = 38,094 : x
  2. Step 2: Convert to fraction form
    19,533/38,094 = 38,094/x
  3. Step 3: Cross multiply
    19,533x = 38,094 × 38,094
  4. Step 4: Simplify right side
    19,533x = 1,451,152,836
  5. Step 5: Solve for x
    x = 1,451,152,836/19,533
  6. Step 6: Final answer
    x = 74,292.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.