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Finding the Third Proportional to 3,693.41 and 8,206.95

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Solution

The third proportional to 3,693.41 and 8,206.95 is: 18,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.41 : 8,206.95 = 8,206.95 : x
  2. Step 2: Convert to fraction form
    3,693.41/8,206.95 = 8,206.95/x
  3. Step 3: Cross multiply
    3,693.41x = 8,206.95 × 8,206.95
  4. Step 4: Simplify right side
    3,693.41x = 67,353,951.36
  5. Step 5: Solve for x
    x = 67,353,951.36/3,693.41
  6. Step 6: Final answer
    x = 18,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.