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Finding the Third Proportional to 4,181 and 4,595

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Solution

The third proportional to 4,181 and 4,595 is: 5,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 4,595 = 4,595 : x
  2. Step 2: Convert to fraction form
    4,181/4,595 = 4,595/x
  3. Step 3: Cross multiply
    4,181x = 4,595 × 4,595
  4. Step 4: Simplify right side
    4,181x = 21,114,025
  5. Step 5: Solve for x
    x = 21,114,025/4,181
  6. Step 6: Final answer
    x = 5,049.99

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.