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Finding the Third Proportional to 3,651.64 and 5,228.30

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Solution

The third proportional to 3,651.64 and 5,228.30 is: 7,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.64 : 5,228.30 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    3,651.64/5,228.30 = 5,228.30/x
  3. Step 3: Cross multiply
    3,651.64x = 5,228.30 × 5,228.30
  4. Step 4: Simplify right side
    3,651.64x = 27,335,088.21
  5. Step 5: Solve for x
    x = 27,335,088.21/3,651.64
  6. Step 6: Final answer
    x = 7,485.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.