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Finding the Third Proportional to 3,403.69 and 5,107.22

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Solution

The third proportional to 3,403.69 and 5,107.22 is: 7,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 5,107.22 = 5,107.22 : x
  2. Step 2: Convert to fraction form
    3,403.69/5,107.22 = 5,107.22/x
  3. Step 3: Cross multiply
    3,403.69x = 5,107.22 × 5,107.22
  4. Step 4: Simplify right side
    3,403.69x = 26,083,683.36
  5. Step 5: Solve for x
    x = 26,083,683.36/3,403.69
  6. Step 6: Final answer
    x = 7,663.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.