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Finding the Third Proportional to 9,606.38 and 15,036.75

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Solution

The third proportional to 9,606.38 and 15,036.75 is: 23,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.38 : 15,036.75 = 15,036.75 : x
  2. Step 2: Convert to fraction form
    9,606.38/15,036.75 = 15,036.75/x
  3. Step 3: Cross multiply
    9,606.38x = 15,036.75 × 15,036.75
  4. Step 4: Simplify right side
    9,606.38x = 226,103,850.56
  5. Step 5: Solve for x
    x = 226,103,850.56/9,606.38
  6. Step 6: Final answer
    x = 23,536.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.