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Finding the Third Proportional to 5,106.75 and 10,728.75

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Solution

The third proportional to 5,106.75 and 10,728.75 is: 22,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.75 : 10,728.75 = 10,728.75 : x
  2. Step 2: Convert to fraction form
    5,106.75/10,728.75 = 10,728.75/x
  3. Step 3: Cross multiply
    5,106.75x = 10,728.75 × 10,728.75
  4. Step 4: Simplify right side
    5,106.75x = 115,106,076.56
  5. Step 5: Solve for x
    x = 115,106,076.56/5,106.75
  6. Step 6: Final answer
    x = 22,539.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.