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Finding the Third Proportional to 4,945.50 and 7,647.75

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Solution

The third proportional to 4,945.50 and 7,647.75 is: 11,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.50 : 7,647.75 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    4,945.50/7,647.75 = 7,647.75/x
  3. Step 3: Cross multiply
    4,945.50x = 7,647.75 × 7,647.75
  4. Step 4: Simplify right side
    4,945.50x = 58,488,080.06
  5. Step 5: Solve for x
    x = 58,488,080.06/4,945.50
  6. Step 6: Final answer
    x = 11,826.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.