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Finding the Third Proportional to 27,940 and 60,326

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Solution

The third proportional to 27,940 and 60,326 is: 130,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940 : 60,326 = 60,326 : x
  2. Step 2: Convert to fraction form
    27,940/60,326 = 60,326/x
  3. Step 3: Cross multiply
    27,940x = 60,326 × 60,326
  4. Step 4: Simplify right side
    27,940x = 3,639,226,276
  5. Step 5: Solve for x
    x = 3,639,226,276/27,940
  6. Step 6: Final answer
    x = 130,251.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.