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Finding the Third Proportional to 6,300.38 and 9,268.03

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Solution

The third proportional to 6,300.38 and 9,268.03 is: 13,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.38 : 9,268.03 = 9,268.03 : x
  2. Step 2: Convert to fraction form
    6,300.38/9,268.03 = 9,268.03/x
  3. Step 3: Cross multiply
    6,300.38x = 9,268.03 × 9,268.03
  4. Step 4: Simplify right side
    6,300.38x = 85,896,403.25
  5. Step 5: Solve for x
    x = 85,896,403.25/6,300.38
  6. Step 6: Final answer
    x = 13,633.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.