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Finding the Third Proportional to 6,108.75 and 12,035.25

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Solution

The third proportional to 6,108.75 and 12,035.25 is: 23,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.75 : 12,035.25 = 12,035.25 : x
  2. Step 2: Convert to fraction form
    6,108.75/12,035.25 = 12,035.25/x
  3. Step 3: Cross multiply
    6,108.75x = 12,035.25 × 12,035.25
  4. Step 4: Simplify right side
    6,108.75x = 144,847,242.56
  5. Step 5: Solve for x
    x = 144,847,242.56/6,108.75
  6. Step 6: Final answer
    x = 23,711.44

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.