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Finding the Third Proportional to 4,098.73 and 6,268.64

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Solution

The third proportional to 4,098.73 and 6,268.64 is: 9,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.73 : 6,268.64 = 6,268.64 : x
  2. Step 2: Convert to fraction form
    4,098.73/6,268.64 = 6,268.64/x
  3. Step 3: Cross multiply
    4,098.73x = 6,268.64 × 6,268.64
  4. Step 4: Simplify right side
    4,098.73x = 39,295,855.29
  5. Step 5: Solve for x
    x = 39,295,855.29/4,098.73
  6. Step 6: Final answer
    x = 9,587.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.