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Finding the Third Proportional to 10,197 and 11,520

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Solution

The third proportional to 10,197 and 11,520 is: 13,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197 : 11,520 = 11,520 : x
  2. Step 2: Convert to fraction form
    10,197/11,520 = 11,520/x
  3. Step 3: Cross multiply
    10,197x = 11,520 × 11,520
  4. Step 4: Simplify right side
    10,197x = 132,710,400
  5. Step 5: Solve for x
    x = 132,710,400/10,197
  6. Step 6: Final answer
    x = 13,014.65

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.