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Finding the Third Proportional to 2,625.47 and 5,673.66

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Solution

The third proportional to 2,625.47 and 5,673.66 is: 12,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.47 : 5,673.66 = 5,673.66 : x
  2. Step 2: Convert to fraction form
    2,625.47/5,673.66 = 5,673.66/x
  3. Step 3: Cross multiply
    2,625.47x = 5,673.66 × 5,673.66
  4. Step 4: Simplify right side
    2,625.47x = 32,190,375.24
  5. Step 5: Solve for x
    x = 32,190,375.24/2,625.47
  6. Step 6: Final answer
    x = 12,260.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.