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Finding the Third Proportional to 3,664.93 and 5,599.92

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Solution

The third proportional to 3,664.93 and 5,599.92 is: 8,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.93 : 5,599.92 = 5,599.92 : x
  2. Step 2: Convert to fraction form
    3,664.93/5,599.92 = 5,599.92/x
  3. Step 3: Cross multiply
    3,664.93x = 5,599.92 × 5,599.92
  4. Step 4: Simplify right side
    3,664.93x = 31,359,059.38
  5. Step 5: Solve for x
    x = 31,359,059.38/3,664.93
  6. Step 6: Final answer
    x = 8,556.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.