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Finding the Third Proportional to 4,157.25 and 9,108.75

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Solution

The third proportional to 4,157.25 and 9,108.75 is: 19,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.25 : 9,108.75 = 9,108.75 : x
  2. Step 2: Convert to fraction form
    4,157.25/9,108.75 = 9,108.75/x
  3. Step 3: Cross multiply
    4,157.25x = 9,108.75 × 9,108.75
  4. Step 4: Simplify right side
    4,157.25x = 82,969,326.56
  5. Step 5: Solve for x
    x = 82,969,326.56/4,157.25
  6. Step 6: Final answer
    x = 19,957.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.