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Finding the Third Proportional to 2,321.79 and 3,639.30

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Solution

The third proportional to 2,321.79 and 3,639.30 is: 5,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.79 : 3,639.30 = 3,639.30 : x
  2. Step 2: Convert to fraction form
    2,321.79/3,639.30 = 3,639.30/x
  3. Step 3: Cross multiply
    2,321.79x = 3,639.30 × 3,639.30
  4. Step 4: Simplify right side
    2,321.79x = 13,244,538.61
  5. Step 5: Solve for x
    x = 13,244,538.61/2,321.79
  6. Step 6: Final answer
    x = 5,704.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.