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Finding the Third Proportional to 32,035 and 48,843

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Solution

The third proportional to 32,035 and 48,843 is: 74,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035 : 48,843 = 48,843 : x
  2. Step 2: Convert to fraction form
    32,035/48,843 = 48,843/x
  3. Step 3: Cross multiply
    32,035x = 48,843 × 48,843
  4. Step 4: Simplify right side
    32,035x = 2,385,638,649
  5. Step 5: Solve for x
    x = 2,385,638,649/32,035
  6. Step 6: Final answer
    x = 74,469.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.