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Finding the Third Proportional to 2,061.75 and 4,865.25

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Solution

The third proportional to 2,061.75 and 4,865.25 is: 11,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.75 : 4,865.25 = 4,865.25 : x
  2. Step 2: Convert to fraction form
    2,061.75/4,865.25 = 4,865.25/x
  3. Step 3: Cross multiply
    2,061.75x = 4,865.25 × 4,865.25
  4. Step 4: Simplify right side
    2,061.75x = 23,670,657.56
  5. Step 5: Solve for x
    x = 23,670,657.56/2,061.75
  6. Step 6: Final answer
    x = 11,480.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.