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Finding the Third Proportional to 10,994.91 and 24,006.09

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Solution

The third proportional to 10,994.91 and 24,006.09 is: 52,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.91 : 24,006.09 = 24,006.09 : x
  2. Step 2: Convert to fraction form
    10,994.91/24,006.09 = 24,006.09/x
  3. Step 3: Cross multiply
    10,994.91x = 24,006.09 × 24,006.09
  4. Step 4: Simplify right side
    10,994.91x = 576,292,537.13
  5. Step 5: Solve for x
    x = 576,292,537.13/10,994.91
  6. Step 6: Final answer
    x = 52,414.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.