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Finding the Third Proportional to 12,006.94 and 19,291.88

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Solution

The third proportional to 12,006.94 and 19,291.88 is: 30,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.94 : 19,291.88 = 19,291.88 : x
  2. Step 2: Convert to fraction form
    12,006.94/19,291.88 = 19,291.88/x
  3. Step 3: Cross multiply
    12,006.94x = 19,291.88 × 19,291.88
  4. Step 4: Simplify right side
    12,006.94x = 372,176,441.02
  5. Step 5: Solve for x
    x = 372,176,441.02/12,006.94
  6. Step 6: Final answer
    x = 30,996.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.