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Finding the Third Proportional to 8,544 and 17,700

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Solution

The third proportional to 8,544 and 17,700 is: 36,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 17,700 = 17,700 : x
  2. Step 2: Convert to fraction form
    8,544/17,700 = 17,700/x
  3. Step 3: Cross multiply
    8,544x = 17,700 × 17,700
  4. Step 4: Simplify right side
    8,544x = 313,290,000
  5. Step 5: Solve for x
    x = 313,290,000/8,544
  6. Step 6: Final answer
    x = 36,667.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.