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Finding the Third Proportional to 7,197 and 10,797

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Solution

The third proportional to 7,197 and 10,797 is: 16,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 10,797 = 10,797 : x
  2. Step 2: Convert to fraction form
    7,197/10,797 = 10,797/x
  3. Step 3: Cross multiply
    7,197x = 10,797 × 10,797
  4. Step 4: Simplify right side
    7,197x = 116,575,209
  5. Step 5: Solve for x
    x = 116,575,209/7,197
  6. Step 6: Final answer
    x = 16,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.