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Finding the Third Proportional to 27,006 and 41,094

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Solution

The third proportional to 27,006 and 41,094 is: 62,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 41,094 = 41,094 : x
  2. Step 2: Convert to fraction form
    27,006/41,094 = 41,094/x
  3. Step 3: Cross multiply
    27,006x = 41,094 × 41,094
  4. Step 4: Simplify right side
    27,006x = 1,688,716,836
  5. Step 5: Solve for x
    x = 1,688,716,836/27,006
  6. Step 6: Final answer
    x = 62,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.