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Finding the Third Proportional to 3,612.94 and 5,606.72

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Solution

The third proportional to 3,612.94 and 5,606.72 is: 8,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.94 : 5,606.72 = 5,606.72 : x
  2. Step 2: Convert to fraction form
    3,612.94/5,606.72 = 5,606.72/x
  3. Step 3: Cross multiply
    3,612.94x = 5,606.72 × 5,606.72
  4. Step 4: Simplify right side
    3,612.94x = 31,435,295.14
  5. Step 5: Solve for x
    x = 31,435,295.14/3,612.94
  6. Step 6: Final answer
    x = 8,700.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.