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Finding the Third Proportional to 1,197 and 3,141

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Solution

The third proportional to 1,197 and 3,141 is: 8,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 3,141 = 3,141 : x
  2. Step 2: Convert to fraction form
    1,197/3,141 = 3,141/x
  3. Step 3: Cross multiply
    1,197x = 3,141 × 3,141
  4. Step 4: Simplify right side
    1,197x = 9,865,881
  5. Step 5: Solve for x
    x = 9,865,881/1,197
  6. Step 6: Final answer
    x = 8,242.17

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.