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Finding the Third Proportional to 5,106 and 10,727.25

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Solution

The third proportional to 5,106 and 10,727.25 is: 22,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 10,727.25 = 10,727.25 : x
  2. Step 2: Convert to fraction form
    5,106/10,727.25 = 10,727.25/x
  3. Step 3: Cross multiply
    5,106x = 10,727.25 × 10,727.25
  4. Step 4: Simplify right side
    5,106x = 115,073,892.56
  5. Step 5: Solve for x
    x = 115,073,892.56/5,106
  6. Step 6: Final answer
    x = 22,536.99

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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.