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Finding the Third Proportional to 11,891.81 and 24,117.75

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Solution

The third proportional to 11,891.81 and 24,117.75 is: 48,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 24,117.75 = 24,117.75 : x
  2. Step 2: Convert to fraction form
    11,891.81/24,117.75 = 24,117.75/x
  3. Step 3: Cross multiply
    11,891.81x = 24,117.75 × 24,117.75
  4. Step 4: Simplify right side
    11,891.81x = 581,665,865.06
  5. Step 5: Solve for x
    x = 581,665,865.06/11,891.81
  6. Step 6: Final answer
    x = 48,913.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.