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Finding the Third Proportional to 3,629.81 and 6,735.66

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Solution

The third proportional to 3,629.81 and 6,735.66 is: 12,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.81 : 6,735.66 = 6,735.66 : x
  2. Step 2: Convert to fraction form
    3,629.81/6,735.66 = 6,735.66/x
  3. Step 3: Cross multiply
    3,629.81x = 6,735.66 × 6,735.66
  4. Step 4: Simplify right side
    3,629.81x = 45,369,065.12
  5. Step 5: Solve for x
    x = 45,369,065.12/3,629.81
  6. Step 6: Final answer
    x = 12,499.01

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.