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Finding the Third Proportional to 7,035.75 and 13,821.75

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Solution

The third proportional to 7,035.75 and 13,821.75 is: 27,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.75 : 13,821.75 = 13,821.75 : x
  2. Step 2: Convert to fraction form
    7,035.75/13,821.75 = 13,821.75/x
  3. Step 3: Cross multiply
    7,035.75x = 13,821.75 × 13,821.75
  4. Step 4: Simplify right side
    7,035.75x = 191,040,773.06
  5. Step 5: Solve for x
    x = 191,040,773.06/7,035.75
  6. Step 6: Final answer
    x = 27,152.87

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.