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Finding the Third Proportional to 11,487.09 and 24,733.97

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Solution

The third proportional to 11,487.09 and 24,733.97 is: 53,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.09 : 24,733.97 = 24,733.97 : x
  2. Step 2: Convert to fraction form
    11,487.09/24,733.97 = 24,733.97/x
  3. Step 3: Cross multiply
    11,487.09x = 24,733.97 × 24,733.97
  4. Step 4: Simplify right side
    11,487.09x = 611,769,210.13
  5. Step 5: Solve for x
    x = 611,769,210.13/11,487.09
  6. Step 6: Final answer
    x = 53,257.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.