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Finding the Third Proportional to 11,436.19 and 24,119.65

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Solution

The third proportional to 11,436.19 and 24,119.65 is: 50,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.19 : 24,119.65 = 24,119.65 : x
  2. Step 2: Convert to fraction form
    11,436.19/24,119.65 = 24,119.65/x
  3. Step 3: Cross multiply
    11,436.19x = 24,119.65 × 24,119.65
  4. Step 4: Simplify right side
    11,436.19x = 581,757,440.75
  5. Step 5: Solve for x
    x = 581,757,440.75/11,436.19
  6. Step 6: Final answer
    x = 50,869.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.