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Finding the Third Proportional to 10,155.38 and 15,415.31

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Solution

The third proportional to 10,155.38 and 15,415.31 is: 23,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.38 : 15,415.31 = 15,415.31 : x
  2. Step 2: Convert to fraction form
    10,155.38/15,415.31 = 15,415.31/x
  3. Step 3: Cross multiply
    10,155.38x = 15,415.31 × 15,415.31
  4. Step 4: Simplify right side
    10,155.38x = 237,631,859.47
  5. Step 5: Solve for x
    x = 237,631,859.47/10,155.38
  6. Step 6: Final answer
    x = 23,399.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.