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Finding the Third Proportional to 2,972 and 4,661

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Solution

The third proportional to 2,972 and 4,661 is: 7,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,661 = 4,661 : x
  2. Step 2: Convert to fraction form
    2,972/4,661 = 4,661/x
  3. Step 3: Cross multiply
    2,972x = 4,661 × 4,661
  4. Step 4: Simplify right side
    2,972x = 21,724,921
  5. Step 5: Solve for x
    x = 21,724,921/2,972
  6. Step 6: Final answer
    x = 7,309.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.