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Finding the Third Proportional to 4,197 and 9,123

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Solution

The third proportional to 4,197 and 9,123 is: 19,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 9,123 = 9,123 : x
  2. Step 2: Convert to fraction form
    4,197/9,123 = 9,123/x
  3. Step 3: Cross multiply
    4,197x = 9,123 × 9,123
  4. Step 4: Simplify right side
    4,197x = 83,229,129
  5. Step 5: Solve for x
    x = 83,229,129/4,197
  6. Step 6: Final answer
    x = 19,830.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.