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Finding the Third Proportional to 6,833.25 and 15,041.25

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Solution

The third proportional to 6,833.25 and 15,041.25 is: 33,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.25 : 15,041.25 = 15,041.25 : x
  2. Step 2: Convert to fraction form
    6,833.25/15,041.25 = 15,041.25/x
  3. Step 3: Cross multiply
    6,833.25x = 15,041.25 × 15,041.25
  4. Step 4: Simplify right side
    6,833.25x = 226,239,201.56
  5. Step 5: Solve for x
    x = 226,239,201.56/6,833.25
  6. Step 6: Final answer
    x = 33,108.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.