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Finding the Third Proportional to 7,435.13 and 15,231.38

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Solution

The third proportional to 7,435.13 and 15,231.38 is: 31,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.13 : 15,231.38 = 15,231.38 : x
  2. Step 2: Convert to fraction form
    7,435.13/15,231.38 = 15,231.38/x
  3. Step 3: Cross multiply
    7,435.13x = 15,231.38 × 15,231.38
  4. Step 4: Simplify right side
    7,435.13x = 231,994,784.39
  5. Step 5: Solve for x
    x = 231,994,784.39/7,435.13
  6. Step 6: Final answer
    x = 31,202.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.