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Finding the Third Proportional to 3,663.31 and 8,028.63

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Solution

The third proportional to 3,663.31 and 8,028.63 is: 17,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.31 : 8,028.63 = 8,028.63 : x
  2. Step 2: Convert to fraction form
    3,663.31/8,028.63 = 8,028.63/x
  3. Step 3: Cross multiply
    3,663.31x = 8,028.63 × 8,028.63
  4. Step 4: Simplify right side
    3,663.31x = 64,458,819.39
  5. Step 5: Solve for x
    x = 64,458,819.39/3,663.31
  6. Step 6: Final answer
    x = 17,595.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.