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Finding the Third Proportional to 27,884 and 60,146

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Solution

The third proportional to 27,884 and 60,146 is: 129,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884 : 60,146 = 60,146 : x
  2. Step 2: Convert to fraction form
    27,884/60,146 = 60,146/x
  3. Step 3: Cross multiply
    27,884x = 60,146 × 60,146
  4. Step 4: Simplify right side
    27,884x = 3,617,541,316
  5. Step 5: Solve for x
    x = 3,617,541,316/27,884
  6. Step 6: Final answer
    x = 129,735.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.