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Finding the Third Proportional to 5,938.13 and 9,194.25

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Solution

The third proportional to 5,938.13 and 9,194.25 is: 14,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.13 : 9,194.25 = 9,194.25 : x
  2. Step 2: Convert to fraction form
    5,938.13/9,194.25 = 9,194.25/x
  3. Step 3: Cross multiply
    5,938.13x = 9,194.25 × 9,194.25
  4. Step 4: Simplify right side
    5,938.13x = 84,534,233.06
  5. Step 5: Solve for x
    x = 84,534,233.06/5,938.13
  6. Step 6: Final answer
    x = 14,235.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.