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Finding the Third Proportional to 4,892.79 and 10,906.15

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Solution

The third proportional to 4,892.79 and 10,906.15 is: 24,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.79 : 10,906.15 = 10,906.15 : x
  2. Step 2: Convert to fraction form
    4,892.79/10,906.15 = 10,906.15/x
  3. Step 3: Cross multiply
    4,892.79x = 10,906.15 × 10,906.15
  4. Step 4: Simplify right side
    4,892.79x = 118,944,073.74
  5. Step 5: Solve for x
    x = 118,944,073.74/4,892.79
  6. Step 6: Final answer
    x = 24,310.08

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.