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Finding the Third Proportional to 737.64 and 1,639.18

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Solution

The third proportional to 737.64 and 1,639.18 is: 3,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.64 : 1,639.18 = 1,639.18 : x
  2. Step 2: Convert to fraction form
    737.64/1,639.18 = 1,639.18/x
  3. Step 3: Cross multiply
    737.64x = 1,639.18 × 1,639.18
  4. Step 4: Simplify right side
    737.64x = 2,686,903.64
  5. Step 5: Solve for x
    x = 2,686,903.64/737.64
  6. Step 6: Final answer
    x = 3,642.57

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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.