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Finding the Third Proportional to 24,105.94 and 35,216.44

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Solution

The third proportional to 24,105.94 and 35,216.44 is: 51,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.94 : 35,216.44 = 35,216.44 : x
  2. Step 2: Convert to fraction form
    24,105.94/35,216.44 = 35,216.44/x
  3. Step 3: Cross multiply
    24,105.94x = 35,216.44 × 35,216.44
  4. Step 4: Simplify right side
    24,105.94x = 1,240,197,470.19
  5. Step 5: Solve for x
    x = 1,240,197,470.19/24,105.94
  6. Step 6: Final answer
    x = 51,447.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.