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Finding the Third Proportional to 4,887.75 and 10,648.75

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Solution

The third proportional to 4,887.75 and 10,648.75 is: 23,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.75 : 10,648.75 = 10,648.75 : x
  2. Step 2: Convert to fraction form
    4,887.75/10,648.75 = 10,648.75/x
  3. Step 3: Cross multiply
    4,887.75x = 10,648.75 × 10,648.75
  4. Step 4: Simplify right side
    4,887.75x = 113,395,876.56
  5. Step 5: Solve for x
    x = 113,395,876.56/4,887.75
  6. Step 6: Final answer
    x = 23,200.02

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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.