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Finding the Third Proportional to 3,525.64 and 7,743.29

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Solution

The third proportional to 3,525.64 and 7,743.29 is: 17,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.64 : 7,743.29 = 7,743.29 : x
  2. Step 2: Convert to fraction form
    3,525.64/7,743.29 = 7,743.29/x
  3. Step 3: Cross multiply
    3,525.64x = 7,743.29 × 7,743.29
  4. Step 4: Simplify right side
    3,525.64x = 59,958,563.31
  5. Step 5: Solve for x
    x = 59,958,563.31/3,525.64
  6. Step 6: Final answer
    x = 17,006.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.