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Finding the Third Proportional to 7,133.38 and 15,531.12

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Solution

The third proportional to 7,133.38 and 15,531.12 is: 33,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.38 : 15,531.12 = 15,531.12 : x
  2. Step 2: Convert to fraction form
    7,133.38/15,531.12 = 15,531.12/x
  3. Step 3: Cross multiply
    7,133.38x = 15,531.12 × 15,531.12
  4. Step 4: Simplify right side
    7,133.38x = 241,215,601.09
  5. Step 5: Solve for x
    x = 241,215,601.09/7,133.38
  6. Step 6: Final answer
    x = 33,815.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.