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Finding the Third Proportional to 8,528.50 and 17,479

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Solution

The third proportional to 8,528.50 and 17,479 is: 35,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.50 : 17,479 = 17,479 : x
  2. Step 2: Convert to fraction form
    8,528.50/17,479 = 17,479/x
  3. Step 3: Cross multiply
    8,528.50x = 17,479 × 17,479
  4. Step 4: Simplify right side
    8,528.50x = 305,515,441
  5. Step 5: Solve for x
    x = 305,515,441/8,528.50
  6. Step 6: Final answer
    x = 35,822.88

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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.