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Finding the Third Proportional to 4,544.75 and 9,910.75

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Solution

The third proportional to 4,544.75 and 9,910.75 is: 21,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.75 : 9,910.75 = 9,910.75 : x
  2. Step 2: Convert to fraction form
    4,544.75/9,910.75 = 9,910.75/x
  3. Step 3: Cross multiply
    4,544.75x = 9,910.75 × 9,910.75
  4. Step 4: Simplify right side
    4,544.75x = 98,222,965.56
  5. Step 5: Solve for x
    x = 98,222,965.56/4,544.75
  6. Step 6: Final answer
    x = 21,612.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.