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Finding the Third Proportional to 2,268.38 and 3,564.50

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Solution

The third proportional to 2,268.38 and 3,564.50 is: 5,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.38 : 3,564.50 = 3,564.50 : x
  2. Step 2: Convert to fraction form
    2,268.38/3,564.50 = 3,564.50/x
  3. Step 3: Cross multiply
    2,268.38x = 3,564.50 × 3,564.50
  4. Step 4: Simplify right side
    2,268.38x = 12,705,660.25
  5. Step 5: Solve for x
    x = 12,705,660.25/2,268.38
  6. Step 6: Final answer
    x = 5,601.22

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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.