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Finding the Third Proportional to 3,532.13 and 5,189.94

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Solution

The third proportional to 3,532.13 and 5,189.94 is: 7,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.13 : 5,189.94 = 5,189.94 : x
  2. Step 2: Convert to fraction form
    3,532.13/5,189.94 = 5,189.94/x
  3. Step 3: Cross multiply
    3,532.13x = 5,189.94 × 5,189.94
  4. Step 4: Simplify right side
    3,532.13x = 26,935,451.25
  5. Step 5: Solve for x
    x = 26,935,451.25/3,532.13
  6. Step 6: Final answer
    x = 7,625.85

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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.