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Finding the Third Proportional to 27,051 and 58,668

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Solution

The third proportional to 27,051 and 58,668 is: 127,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051 : 58,668 = 58,668 : x
  2. Step 2: Convert to fraction form
    27,051/58,668 = 58,668/x
  3. Step 3: Cross multiply
    27,051x = 58,668 × 58,668
  4. Step 4: Simplify right side
    27,051x = 3,441,934,224
  5. Step 5: Solve for x
    x = 3,441,934,224/27,051
  6. Step 6: Final answer
    x = 127,238.71

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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.