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Finding the Third Proportional to 3,650.06 and 8,011.41

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Solution

The third proportional to 3,650.06 and 8,011.41 is: 17,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.06 : 8,011.41 = 8,011.41 : x
  2. Step 2: Convert to fraction form
    3,650.06/8,011.41 = 8,011.41/x
  3. Step 3: Cross multiply
    3,650.06x = 8,011.41 × 8,011.41
  4. Step 4: Simplify right side
    3,650.06x = 64,182,630.10
  5. Step 5: Solve for x
    x = 64,182,630.10/3,650.06
  6. Step 6: Final answer
    x = 17,583.98

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