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Finding the Third Proportional to 2,972 and 4,601

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Solution

The third proportional to 2,972 and 4,601 is: 7,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,601 = 4,601 : x
  2. Step 2: Convert to fraction form
    2,972/4,601 = 4,601/x
  3. Step 3: Cross multiply
    2,972x = 4,601 × 4,601
  4. Step 4: Simplify right side
    2,972x = 21,169,201
  5. Step 5: Solve for x
    x = 21,169,201/2,972
  6. Step 6: Final answer
    x = 7,122.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.