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Finding the Third Proportional to 3,766.76 and 8,203.20

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Solution

The third proportional to 3,766.76 and 8,203.20 is: 17,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.76 : 8,203.20 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    3,766.76/8,203.20 = 8,203.20/x
  3. Step 3: Cross multiply
    3,766.76x = 8,203.20 × 8,203.20
  4. Step 4: Simplify right side
    3,766.76x = 67,292,509.47
  5. Step 5: Solve for x
    x = 67,292,509.47/3,766.76
  6. Step 6: Final answer
    x = 17,864.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.