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Finding the Third Proportional to 3,682.13 and 5,293.69

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Solution

The third proportional to 3,682.13 and 5,293.69 is: 7,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.13 : 5,293.69 = 5,293.69 : x
  2. Step 2: Convert to fraction form
    3,682.13/5,293.69 = 5,293.69/x
  3. Step 3: Cross multiply
    3,682.13x = 5,293.69 × 5,293.69
  4. Step 4: Simplify right side
    3,682.13x = 28,023,127.35
  5. Step 5: Solve for x
    x = 28,023,127.35/3,682.13
  6. Step 6: Final answer
    x = 7,610.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.