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Finding the Third Proportional to 8,972.44 and 18,392.63

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Solution

The third proportional to 8,972.44 and 18,392.63 is: 37,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.44 : 18,392.63 = 18,392.63 : x
  2. Step 2: Convert to fraction form
    8,972.44/18,392.63 = 18,392.63/x
  3. Step 3: Cross multiply
    8,972.44x = 18,392.63 × 18,392.63
  4. Step 4: Simplify right side
    8,972.44x = 338,288,654.39
  5. Step 5: Solve for x
    x = 338,288,654.39/8,972.44
  6. Step 6: Final answer
    x = 37,703.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.