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Finding the Third Proportional to 5,937 and 12,697

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Solution

The third proportional to 5,937 and 12,697 is: 27,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937 : 12,697 = 12,697 : x
  2. Step 2: Convert to fraction form
    5,937/12,697 = 12,697/x
  3. Step 3: Cross multiply
    5,937x = 12,697 × 12,697
  4. Step 4: Simplify right side
    5,937x = 161,213,809
  5. Step 5: Solve for x
    x = 161,213,809/5,937
  6. Step 6: Final answer
    x = 27,154.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.