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Finding the Third Proportional to 32,544 and 48,816

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Solution

The third proportional to 32,544 and 48,816 is: 73,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 48,816 = 48,816 : x
  2. Step 2: Convert to fraction form
    32,544/48,816 = 48,816/x
  3. Step 3: Cross multiply
    32,544x = 48,816 × 48,816
  4. Step 4: Simplify right side
    32,544x = 2,383,001,856
  5. Step 5: Solve for x
    x = 2,383,001,856/32,544
  6. Step 6: Final answer
    x = 73,224

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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.