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Finding the Third Proportional to 3,651 and 5,931.75

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Solution

The third proportional to 3,651 and 5,931.75 is: 9,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651 : 5,931.75 = 5,931.75 : x
  2. Step 2: Convert to fraction form
    3,651/5,931.75 = 5,931.75/x
  3. Step 3: Cross multiply
    3,651x = 5,931.75 × 5,931.75
  4. Step 4: Simplify right side
    3,651x = 35,185,658.06
  5. Step 5: Solve for x
    x = 35,185,658.06/3,651
  6. Step 6: Final answer
    x = 9,637.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.