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Finding the Third Proportional to 27,310 and 36,697

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Solution

The third proportional to 27,310 and 36,697 is: 49,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310 : 36,697 = 36,697 : x
  2. Step 2: Convert to fraction form
    27,310/36,697 = 36,697/x
  3. Step 3: Cross multiply
    27,310x = 36,697 × 36,697
  4. Step 4: Simplify right side
    27,310x = 1,346,669,809
  5. Step 5: Solve for x
    x = 1,346,669,809/27,310
  6. Step 6: Final answer
    x = 49,310.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.