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Finding the Third Proportional to 10,666.69 and 18,667.97

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Solution

The third proportional to 10,666.69 and 18,667.97 is: 32,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.69 : 18,667.97 = 18,667.97 : x
  2. Step 2: Convert to fraction form
    10,666.69/18,667.97 = 18,667.97/x
  3. Step 3: Cross multiply
    10,666.69x = 18,667.97 × 18,667.97
  4. Step 4: Simplify right side
    10,666.69x = 348,493,057.25
  5. Step 5: Solve for x
    x = 348,493,057.25/10,666.69
  6. Step 6: Final answer
    x = 32,671.16

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.