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Finding the Third Proportional to 5,202.75 and 11,240.25

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Solution

The third proportional to 5,202.75 and 11,240.25 is: 24,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.75 : 11,240.25 = 11,240.25 : x
  2. Step 2: Convert to fraction form
    5,202.75/11,240.25 = 11,240.25/x
  3. Step 3: Cross multiply
    5,202.75x = 11,240.25 × 11,240.25
  4. Step 4: Simplify right side
    5,202.75x = 126,343,220.06
  5. Step 5: Solve for x
    x = 126,343,220.06/5,202.75
  6. Step 6: Final answer
    x = 24,283.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.