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Finding the Third Proportional to 27,944 and 58,156

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Solution

The third proportional to 27,944 and 58,156 is: 121,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 58,156 = 58,156 : x
  2. Step 2: Convert to fraction form
    27,944/58,156 = 58,156/x
  3. Step 3: Cross multiply
    27,944x = 58,156 × 58,156
  4. Step 4: Simplify right side
    27,944x = 3,382,120,336
  5. Step 5: Solve for x
    x = 3,382,120,336/27,944
  6. Step 6: Final answer
    x = 121,032.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.