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Finding the Third Proportional to 3,319.31 and 5,096.25

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Solution

The third proportional to 3,319.31 and 5,096.25 is: 7,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.31 : 5,096.25 = 5,096.25 : x
  2. Step 2: Convert to fraction form
    3,319.31/5,096.25 = 5,096.25/x
  3. Step 3: Cross multiply
    3,319.31x = 5,096.25 × 5,096.25
  4. Step 4: Simplify right side
    3,319.31x = 25,971,764.06
  5. Step 5: Solve for x
    x = 25,971,764.06/3,319.31
  6. Step 6: Final answer
    x = 7,824.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.