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Finding the Third Proportional to 8,985.94 and 18,412.31

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Solution

The third proportional to 8,985.94 and 18,412.31 is: 37,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.94 : 18,412.31 = 18,412.31 : x
  2. Step 2: Convert to fraction form
    8,985.94/18,412.31 = 18,412.31/x
  3. Step 3: Cross multiply
    8,985.94x = 18,412.31 × 18,412.31
  4. Step 4: Simplify right side
    8,985.94x = 339,013,251.60
  5. Step 5: Solve for x
    x = 339,013,251.60/8,985.94
  6. Step 6: Final answer
    x = 37,727.09

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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.