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Finding the Third Proportional to 27,861 and 60,348

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Solution

The third proportional to 27,861 and 60,348 is: 130,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861 : 60,348 = 60,348 : x
  2. Step 2: Convert to fraction form
    27,861/60,348 = 60,348/x
  3. Step 3: Cross multiply
    27,861x = 60,348 × 60,348
  4. Step 4: Simplify right side
    27,861x = 3,641,881,104
  5. Step 5: Solve for x
    x = 3,641,881,104/27,861
  6. Step 6: Final answer
    x = 130,716.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.