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Finding the Third Proportional to 8,580 and 17,704

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Solution

The third proportional to 8,580 and 17,704 is: 36,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 17,704 = 17,704 : x
  2. Step 2: Convert to fraction form
    8,580/17,704 = 17,704/x
  3. Step 3: Cross multiply
    8,580x = 17,704 × 17,704
  4. Step 4: Simplify right side
    8,580x = 313,431,616
  5. Step 5: Solve for x
    x = 313,431,616/8,580
  6. Step 6: Final answer
    x = 36,530.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.