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Finding the Third Proportional to 13,197 and 18,580

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Solution

The third proportional to 13,197 and 18,580 is: 26,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 18,580 = 18,580 : x
  2. Step 2: Convert to fraction form
    13,197/18,580 = 18,580/x
  3. Step 3: Cross multiply
    13,197x = 18,580 × 18,580
  4. Step 4: Simplify right side
    13,197x = 345,216,400
  5. Step 5: Solve for x
    x = 345,216,400/13,197
  6. Step 6: Final answer
    x = 26,158.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.