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Finding the Third Proportional to 4,238.25 and 6,114.38

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Solution

The third proportional to 4,238.25 and 6,114.38 is: 8,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.25 : 6,114.38 = 6,114.38 : x
  2. Step 2: Convert to fraction form
    4,238.25/6,114.38 = 6,114.38/x
  3. Step 3: Cross multiply
    4,238.25x = 6,114.38 × 6,114.38
  4. Step 4: Simplify right side
    4,238.25x = 37,385,581.64
  5. Step 5: Solve for x
    x = 37,385,581.64/4,238.25
  6. Step 6: Final answer
    x = 8,820.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.