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Finding the Third Proportional to 4,891.75 and 9,538.25

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Solution

The third proportional to 4,891.75 and 9,538.25 is: 18,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.75 : 9,538.25 = 9,538.25 : x
  2. Step 2: Convert to fraction form
    4,891.75/9,538.25 = 9,538.25/x
  3. Step 3: Cross multiply
    4,891.75x = 9,538.25 × 9,538.25
  4. Step 4: Simplify right side
    4,891.75x = 90,978,213.06
  5. Step 5: Solve for x
    x = 90,978,213.06/4,891.75
  6. Step 6: Final answer
    x = 18,598.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.