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Finding the Third Proportional to 32,544 and 62,496

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Solution

The third proportional to 32,544 and 62,496 is: 120,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 62,496 = 62,496 : x
  2. Step 2: Convert to fraction form
    32,544/62,496 = 62,496/x
  3. Step 3: Cross multiply
    32,544x = 62,496 × 62,496
  4. Step 4: Simplify right side
    32,544x = 3,905,750,016
  5. Step 5: Solve for x
    x = 3,905,750,016/32,544
  6. Step 6: Final answer
    x = 120,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.