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Finding the Third Proportional to 27,619.50 and 59,109

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Solution

The third proportional to 27,619.50 and 59,109 is: 126,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,619.50 : 59,109 = 59,109 : x
  2. Step 2: Convert to fraction form
    27,619.50/59,109 = 59,109/x
  3. Step 3: Cross multiply
    27,619.50x = 59,109 × 59,109
  4. Step 4: Simplify right side
    27,619.50x = 3,493,873,881
  5. Step 5: Solve for x
    x = 3,493,873,881/27,619.50
  6. Step 6: Final answer
    x = 126,500.26

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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.