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Finding the Third Proportional to 10,524.94 and 22,736.81

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Solution

The third proportional to 10,524.94 and 22,736.81 is: 49,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 22,736.81 = 22,736.81 : x
  2. Step 2: Convert to fraction form
    10,524.94/22,736.81 = 22,736.81/x
  3. Step 3: Cross multiply
    10,524.94x = 22,736.81 × 22,736.81
  4. Step 4: Simplify right side
    10,524.94x = 516,962,642.66
  5. Step 5: Solve for x
    x = 516,962,642.66/10,524.94
  6. Step 6: Final answer
    x = 49,117.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.