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Finding the Third Proportional to 24,120 and 33,210

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Solution

The third proportional to 24,120 and 33,210 is: 45,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 33,210 = 33,210 : x
  2. Step 2: Convert to fraction form
    24,120/33,210 = 33,210/x
  3. Step 3: Cross multiply
    24,120x = 33,210 × 33,210
  4. Step 4: Simplify right side
    24,120x = 1,102,904,100
  5. Step 5: Solve for x
    x = 1,102,904,100/24,120
  6. Step 6: Final answer
    x = 45,725.71

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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.