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Finding the Third Proportional to 27,739.50 and 59,508

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Solution

The third proportional to 27,739.50 and 59,508 is: 127,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.50 : 59,508 = 59,508 : x
  2. Step 2: Convert to fraction form
    27,739.50/59,508 = 59,508/x
  3. Step 3: Cross multiply
    27,739.50x = 59,508 × 59,508
  4. Step 4: Simplify right side
    27,739.50x = 3,541,202,064
  5. Step 5: Solve for x
    x = 3,541,202,064/27,739.50
  6. Step 6: Final answer
    x = 127,659.19

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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.