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Finding the Third Proportional to 51,708.38 and 105,593.63

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Solution

The third proportional to 51,708.38 and 105,593.63 is: 215,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708.38 : 105,593.63 = 105,593.63 : x
  2. Step 2: Convert to fraction form
    51,708.38/105,593.63 = 105,593.63/x
  3. Step 3: Cross multiply
    51,708.38x = 105,593.63 × 105,593.63
  4. Step 4: Simplify right side
    51,708.38x = 11,150,013,640.64
  5. Step 5: Solve for x
    x = 11,150,013,640.64/51,708.38
  6. Step 6: Final answer
    x = 215,632.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.