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Finding the Third Proportional to 3,621.94 and 7,632.84

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Solution

The third proportional to 3,621.94 and 7,632.84 is: 16,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.94 : 7,632.84 = 7,632.84 : x
  2. Step 2: Convert to fraction form
    3,621.94/7,632.84 = 7,632.84/x
  3. Step 3: Cross multiply
    3,621.94x = 7,632.84 × 7,632.84
  4. Step 4: Simplify right side
    3,621.94x = 58,260,303.71
  5. Step 5: Solve for x
    x = 58,260,303.71/3,621.94
  6. Step 6: Final answer
    x = 16,085.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.