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Finding the Third Proportional to 4,625.54 and 11,184.64

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Solution

The third proportional to 4,625.54 and 11,184.64 is: 27,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.54 : 11,184.64 = 11,184.64 : x
  2. Step 2: Convert to fraction form
    4,625.54/11,184.64 = 11,184.64/x
  3. Step 3: Cross multiply
    4,625.54x = 11,184.64 × 11,184.64
  4. Step 4: Simplify right side
    4,625.54x = 125,096,273.29
  5. Step 5: Solve for x
    x = 125,096,273.29/4,625.54
  6. Step 6: Final answer
    x = 27,044.67

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.