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Finding the Third Proportional to 27,310 and 40,794

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Solution

The third proportional to 27,310 and 40,794 is: 60,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310 : 40,794 = 40,794 : x
  2. Step 2: Convert to fraction form
    27,310/40,794 = 40,794/x
  3. Step 3: Cross multiply
    27,310x = 40,794 × 40,794
  4. Step 4: Simplify right side
    27,310x = 1,664,150,436
  5. Step 5: Solve for x
    x = 1,664,150,436/27,310
  6. Step 6: Final answer
    x = 60,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.