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Finding the Third Proportional to 4,388.63 and 5,912.44

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Solution

The third proportional to 4,388.63 and 5,912.44 is: 7,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.63 : 5,912.44 = 5,912.44 : x
  2. Step 2: Convert to fraction form
    4,388.63/5,912.44 = 5,912.44/x
  3. Step 3: Cross multiply
    4,388.63x = 5,912.44 × 5,912.44
  4. Step 4: Simplify right side
    4,388.63x = 34,956,917.19
  5. Step 5: Solve for x
    x = 34,956,917.19/4,388.63
  6. Step 6: Final answer
    x = 7,965.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.