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Finding the Third Proportional to 3,569.25 and 5,699.25

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Solution

The third proportional to 3,569.25 and 5,699.25 is: 9,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.25 : 5,699.25 = 5,699.25 : x
  2. Step 2: Convert to fraction form
    3,569.25/5,699.25 = 5,699.25/x
  3. Step 3: Cross multiply
    3,569.25x = 5,699.25 × 5,699.25
  4. Step 4: Simplify right side
    3,569.25x = 32,481,450.56
  5. Step 5: Solve for x
    x = 32,481,450.56/3,569.25
  6. Step 6: Final answer
    x = 9,100.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.