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Finding the Third Proportional to 4,192.25 and 5,464.75

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Solution

The third proportional to 4,192.25 and 5,464.75 is: 7,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.25 : 5,464.75 = 5,464.75 : x
  2. Step 2: Convert to fraction form
    4,192.25/5,464.75 = 5,464.75/x
  3. Step 3: Cross multiply
    4,192.25x = 5,464.75 × 5,464.75
  4. Step 4: Simplify right side
    4,192.25x = 29,863,492.56
  5. Step 5: Solve for x
    x = 29,863,492.56/4,192.25
  6. Step 6: Final answer
    x = 7,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.