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Finding the Third Proportional to 11,491.72 and 24,797.39

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Solution

The third proportional to 11,491.72 and 24,797.39 is: 53,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.72 : 24,797.39 = 24,797.39 : x
  2. Step 2: Convert to fraction form
    11,491.72/24,797.39 = 24,797.39/x
  3. Step 3: Cross multiply
    11,491.72x = 24,797.39 × 24,797.39
  4. Step 4: Simplify right side
    11,491.72x = 614,910,581.81
  5. Step 5: Solve for x
    x = 614,910,581.81/11,491.72
  6. Step 6: Final answer
    x = 53,509.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.