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Finding the Third Proportional to 27,364 and 58,913

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Solution

The third proportional to 27,364 and 58,913 is: 126,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364 : 58,913 = 58,913 : x
  2. Step 2: Convert to fraction form
    27,364/58,913 = 58,913/x
  3. Step 3: Cross multiply
    27,364x = 58,913 × 58,913
  4. Step 4: Simplify right side
    27,364x = 3,470,741,569
  5. Step 5: Solve for x
    x = 3,470,741,569/27,364
  6. Step 6: Final answer
    x = 126,836.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.