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Finding the Third Proportional to 3,853.83 and 8,321.91

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Solution

The third proportional to 3,853.83 and 8,321.91 is: 17,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.83 : 8,321.91 = 8,321.91 : x
  2. Step 2: Convert to fraction form
    3,853.83/8,321.91 = 8,321.91/x
  3. Step 3: Cross multiply
    3,853.83x = 8,321.91 × 8,321.91
  4. Step 4: Simplify right side
    3,853.83x = 69,254,123.63
  5. Step 5: Solve for x
    x = 69,254,123.63/3,853.83
  6. Step 6: Final answer
    x = 17,970.22

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