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Finding the Third Proportional to 27,434 and 58,753

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Solution

The third proportional to 27,434 and 58,753 is: 125,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434 : 58,753 = 58,753 : x
  2. Step 2: Convert to fraction form
    27,434/58,753 = 58,753/x
  3. Step 3: Cross multiply
    27,434x = 58,753 × 58,753
  4. Step 4: Simplify right side
    27,434x = 3,451,915,009
  5. Step 5: Solve for x
    x = 3,451,915,009/27,434
  6. Step 6: Final answer
    x = 125,826.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.