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Finding the Third Proportional to 27,536 and 37,368

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Solution

The third proportional to 27,536 and 37,368 is: 50,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536 : 37,368 = 37,368 : x
  2. Step 2: Convert to fraction form
    27,536/37,368 = 37,368/x
  3. Step 3: Cross multiply
    27,536x = 37,368 × 37,368
  4. Step 4: Simplify right side
    27,536x = 1,396,367,424
  5. Step 5: Solve for x
    x = 1,396,367,424/27,536
  6. Step 6: Final answer
    x = 50,710.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.