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Finding the Third Proportional to 4,350.94 and 6,609.38

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Solution

The third proportional to 4,350.94 and 6,609.38 is: 10,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.94 : 6,609.38 = 6,609.38 : x
  2. Step 2: Convert to fraction form
    4,350.94/6,609.38 = 6,609.38/x
  3. Step 3: Cross multiply
    4,350.94x = 6,609.38 × 6,609.38
  4. Step 4: Simplify right side
    4,350.94x = 43,683,837.89
  5. Step 5: Solve for x
    x = 43,683,837.89/4,350.94
  6. Step 6: Final answer
    x = 10,040.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.