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Finding the Third Proportional to 27,612 and 59,904

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Solution

The third proportional to 27,612 and 59,904 is: 129,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 59,904 = 59,904 : x
  2. Step 2: Convert to fraction form
    27,612/59,904 = 59,904/x
  3. Step 3: Cross multiply
    27,612x = 59,904 × 59,904
  4. Step 4: Simplify right side
    27,612x = 3,588,489,216
  5. Step 5: Solve for x
    x = 3,588,489,216/27,612
  6. Step 6: Final answer
    x = 129,961.22

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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.