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Finding the Third Proportional to 5,052.38 and 11,097.75

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Solution

The third proportional to 5,052.38 and 11,097.75 is: 24,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.38 : 11,097.75 = 11,097.75 : x
  2. Step 2: Convert to fraction form
    5,052.38/11,097.75 = 11,097.75/x
  3. Step 3: Cross multiply
    5,052.38x = 11,097.75 × 11,097.75
  4. Step 4: Simplify right side
    5,052.38x = 123,160,055.06
  5. Step 5: Solve for x
    x = 123,160,055.06/5,052.38
  6. Step 6: Final answer
    x = 24,376.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.