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Finding the Third Proportional to 3,586 and 5,097

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Solution

The third proportional to 3,586 and 5,097 is: 7,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,097 = 5,097 : x
  2. Step 2: Convert to fraction form
    3,586/5,097 = 5,097/x
  3. Step 3: Cross multiply
    3,586x = 5,097 × 5,097
  4. Step 4: Simplify right side
    3,586x = 25,979,409
  5. Step 5: Solve for x
    x = 25,979,409/3,586
  6. Step 6: Final answer
    x = 7,244.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.