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Finding the Third Proportional to 11,448 and 17,148.38

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Solution

The third proportional to 11,448 and 17,148.38 is: 25,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448 : 17,148.38 = 17,148.38 : x
  2. Step 2: Convert to fraction form
    11,448/17,148.38 = 17,148.38/x
  3. Step 3: Cross multiply
    11,448x = 17,148.38 × 17,148.38
  4. Step 4: Simplify right side
    11,448x = 294,066,765.14
  5. Step 5: Solve for x
    x = 294,066,765.14/11,448
  6. Step 6: Final answer
    x = 25,687.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.