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Finding the Third Proportional to 11,214.94 and 24,287.81

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Solution

The third proportional to 11,214.94 and 24,287.81 is: 52,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.94 : 24,287.81 = 24,287.81 : x
  2. Step 2: Convert to fraction form
    11,214.94/24,287.81 = 24,287.81/x
  3. Step 3: Cross multiply
    11,214.94x = 24,287.81 × 24,287.81
  4. Step 4: Simplify right side
    11,214.94x = 589,897,836.04
  5. Step 5: Solve for x
    x = 589,897,836.04/11,214.94
  6. Step 6: Final answer
    x = 52,599.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.