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Finding the Third Proportional to 10,410.75 and 15,249.38

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Solution

The third proportional to 10,410.75 and 15,249.38 is: 22,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.75 : 15,249.38 = 15,249.38 : x
  2. Step 2: Convert to fraction form
    10,410.75/15,249.38 = 15,249.38/x
  3. Step 3: Cross multiply
    10,410.75x = 15,249.38 × 15,249.38
  4. Step 4: Simplify right side
    10,410.75x = 232,543,437.89
  5. Step 5: Solve for x
    x = 232,543,437.89/10,410.75
  6. Step 6: Final answer
    x = 22,336.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.