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Finding the Third Proportional to 24,124 and 33,216

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Solution

The third proportional to 24,124 and 33,216 is: 45,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124 : 33,216 = 33,216 : x
  2. Step 2: Convert to fraction form
    24,124/33,216 = 33,216/x
  3. Step 3: Cross multiply
    24,124x = 33,216 × 33,216
  4. Step 4: Simplify right side
    24,124x = 1,103,302,656
  5. Step 5: Solve for x
    x = 1,103,302,656/24,124
  6. Step 6: Final answer
    x = 45,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.