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Finding the Third Proportional to 5,734.13 and 14,232.38

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Solution

The third proportional to 5,734.13 and 14,232.38 is: 35,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.13 : 14,232.38 = 14,232.38 : x
  2. Step 2: Convert to fraction form
    5,734.13/14,232.38 = 14,232.38/x
  3. Step 3: Cross multiply
    5,734.13x = 14,232.38 × 14,232.38
  4. Step 4: Simplify right side
    5,734.13x = 202,560,498.14
  5. Step 5: Solve for x
    x = 202,560,498.14/5,734.13
  6. Step 6: Final answer
    x = 35,325.44

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.