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Finding the Third Proportional to 5,788.13 and 13,997.81

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Solution

The third proportional to 5,788.13 and 13,997.81 is: 33,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.13 : 13,997.81 = 13,997.81 : x
  2. Step 2: Convert to fraction form
    5,788.13/13,997.81 = 13,997.81/x
  3. Step 3: Cross multiply
    5,788.13x = 13,997.81 × 13,997.81
  4. Step 4: Simplify right side
    5,788.13x = 195,938,754.79
  5. Step 5: Solve for x
    x = 195,938,754.79/5,788.13
  6. Step 6: Final answer
    x = 33,851.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.