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Finding the Third Proportional to 4,591.25 and 9,911.50

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Solution

The third proportional to 4,591.25 and 9,911.50 is: 21,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.25 : 9,911.50 = 9,911.50 : x
  2. Step 2: Convert to fraction form
    4,591.25/9,911.50 = 9,911.50/x
  3. Step 3: Cross multiply
    4,591.25x = 9,911.50 × 9,911.50
  4. Step 4: Simplify right side
    4,591.25x = 98,237,832.25
  5. Step 5: Solve for x
    x = 98,237,832.25/4,591.25
  6. Step 6: Final answer
    x = 21,396.75

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Why These Related Problems?

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