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Finding the Third Proportional to 3,643.03 and 5,625.56

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Solution

The third proportional to 3,643.03 and 5,625.56 is: 8,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.03 : 5,625.56 = 5,625.56 : x
  2. Step 2: Convert to fraction form
    3,643.03/5,625.56 = 5,625.56/x
  3. Step 3: Cross multiply
    3,643.03x = 5,625.56 × 5,625.56
  4. Step 4: Simplify right side
    3,643.03x = 31,646,953.44
  5. Step 5: Solve for x
    x = 31,646,953.44/3,643.03
  6. Step 6: Final answer
    x = 8,686.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.