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Finding the Third Proportional to 4,187.25 and 5,844.38

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Solution

The third proportional to 4,187.25 and 5,844.38 is: 8,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.25 : 5,844.38 = 5,844.38 : x
  2. Step 2: Convert to fraction form
    4,187.25/5,844.38 = 5,844.38/x
  3. Step 3: Cross multiply
    4,187.25x = 5,844.38 × 5,844.38
  4. Step 4: Simplify right side
    4,187.25x = 34,156,719.14
  5. Step 5: Solve for x
    x = 34,156,719.14/4,187.25
  6. Step 6: Final answer
    x = 8,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.