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Finding the Third Proportional to 32,544 and 44,208

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Solution

The third proportional to 32,544 and 44,208 is: 60,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 44,208 = 44,208 : x
  2. Step 2: Convert to fraction form
    32,544/44,208 = 44,208/x
  3. Step 3: Cross multiply
    32,544x = 44,208 × 44,208
  4. Step 4: Simplify right side
    32,544x = 1,954,347,264
  5. Step 5: Solve for x
    x = 1,954,347,264/32,544
  6. Step 6: Final answer
    x = 60,052.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.