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Finding the Third Proportional to 12,206 and 16,580

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Solution

The third proportional to 12,206 and 16,580 is: 22,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 16,580 = 16,580 : x
  2. Step 2: Convert to fraction form
    12,206/16,580 = 16,580/x
  3. Step 3: Cross multiply
    12,206x = 16,580 × 16,580
  4. Step 4: Simplify right side
    12,206x = 274,896,400
  5. Step 5: Solve for x
    x = 274,896,400/12,206
  6. Step 6: Final answer
    x = 22,521.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.