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Finding the Third Proportional to 4,311.56 and 4,881.09

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Solution

The third proportional to 4,311.56 and 4,881.09 is: 5,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 4,881.09 = 4,881.09 : x
  2. Step 2: Convert to fraction form
    4,311.56/4,881.09 = 4,881.09/x
  3. Step 3: Cross multiply
    4,311.56x = 4,881.09 × 4,881.09
  4. Step 4: Simplify right side
    4,311.56x = 23,825,076.20
  5. Step 5: Solve for x
    x = 23,825,076.20/4,311.56
  6. Step 6: Final answer
    x = 5,525.86

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.