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Finding the Third Proportional to 4,134 and 5,622.75

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Solution

The third proportional to 4,134 and 5,622.75 is: 7,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 5,622.75 = 5,622.75 : x
  2. Step 2: Convert to fraction form
    4,134/5,622.75 = 5,622.75/x
  3. Step 3: Cross multiply
    4,134x = 5,622.75 × 5,622.75
  4. Step 4: Simplify right side
    4,134x = 31,615,317.56
  5. Step 5: Solve for x
    x = 31,615,317.56/4,134
  6. Step 6: Final answer
    x = 7,647.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.