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Finding the Third Proportional to 11,348.86 and 24,770.81

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Solution

The third proportional to 11,348.86 and 24,770.81 is: 54,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.86 : 24,770.81 = 24,770.81 : x
  2. Step 2: Convert to fraction form
    11,348.86/24,770.81 = 24,770.81/x
  3. Step 3: Cross multiply
    11,348.86x = 24,770.81 × 24,770.81
  4. Step 4: Simplify right side
    11,348.86x = 613,593,151.91
  5. Step 5: Solve for x
    x = 613,593,151.91/11,348.86
  6. Step 6: Final answer
    x = 54,066.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.