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Finding the Third Proportional to 19,847.25 and 31,593.38

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Solution

The third proportional to 19,847.25 and 31,593.38 is: 50,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.25 : 31,593.38 = 31,593.38 : x
  2. Step 2: Convert to fraction form
    19,847.25/31,593.38 = 31,593.38/x
  3. Step 3: Cross multiply
    19,847.25x = 31,593.38 × 31,593.38
  4. Step 4: Simplify right side
    19,847.25x = 998,141,343.89
  5. Step 5: Solve for x
    x = 998,141,343.89/19,847.25
  6. Step 6: Final answer
    x = 50,291.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.