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Finding the Third Proportional to 3,653.44 and 5,525.72

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Solution

The third proportional to 3,653.44 and 5,525.72 is: 8,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.44 : 5,525.72 = 5,525.72 : x
  2. Step 2: Convert to fraction form
    3,653.44/5,525.72 = 5,525.72/x
  3. Step 3: Cross multiply
    3,653.44x = 5,525.72 × 5,525.72
  4. Step 4: Simplify right side
    3,653.44x = 30,533,567.70
  5. Step 5: Solve for x
    x = 30,533,567.70/3,653.44
  6. Step 6: Final answer
    x = 8,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.