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Finding the Third Proportional to 24,205.50 and 36,335.25

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Solution

The third proportional to 24,205.50 and 36,335.25 is: 54,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.50 : 36,335.25 = 36,335.25 : x
  2. Step 2: Convert to fraction form
    24,205.50/36,335.25 = 36,335.25/x
  3. Step 3: Cross multiply
    24,205.50x = 36,335.25 × 36,335.25
  4. Step 4: Simplify right side
    24,205.50x = 1,320,250,392.56
  5. Step 5: Solve for x
    x = 1,320,250,392.56/24,205.50
  6. Step 6: Final answer
    x = 54,543.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.