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Finding the Third Proportional to 5,349.09 and 7,099.31

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Solution

The third proportional to 5,349.09 and 7,099.31 is: 9,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.09 : 7,099.31 = 7,099.31 : x
  2. Step 2: Convert to fraction form
    5,349.09/7,099.31 = 7,099.31/x
  3. Step 3: Cross multiply
    5,349.09x = 7,099.31 × 7,099.31
  4. Step 4: Simplify right side
    5,349.09x = 50,400,237.97
  5. Step 5: Solve for x
    x = 50,400,237.97/5,349.09
  6. Step 6: Final answer
    x = 9,422.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.