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Finding the Third Proportional to 32,544 and 66,624

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Solution

The third proportional to 32,544 and 66,624 is: 136,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 66,624 = 66,624 : x
  2. Step 2: Convert to fraction form
    32,544/66,624 = 66,624/x
  3. Step 3: Cross multiply
    32,544x = 66,624 × 66,624
  4. Step 4: Simplify right side
    32,544x = 4,438,757,376
  5. Step 5: Solve for x
    x = 4,438,757,376/32,544
  6. Step 6: Final answer
    x = 136,392.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.