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Finding the Third Proportional to 27,324 and 37,084

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Solution

The third proportional to 27,324 and 37,084 is: 50,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 37,084 = 37,084 : x
  2. Step 2: Convert to fraction form
    27,324/37,084 = 37,084/x
  3. Step 3: Cross multiply
    27,324x = 37,084 × 37,084
  4. Step 4: Simplify right side
    27,324x = 1,375,223,056
  5. Step 5: Solve for x
    x = 1,375,223,056/27,324
  6. Step 6: Final answer
    x = 50,330.22

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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.