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Finding the Third Proportional to 11,314.69 and 24,436.69

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Solution

The third proportional to 11,314.69 and 24,436.69 is: 52,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.69 : 24,436.69 = 24,436.69 : x
  2. Step 2: Convert to fraction form
    11,314.69/24,436.69 = 24,436.69/x
  3. Step 3: Cross multiply
    11,314.69x = 24,436.69 × 24,436.69
  4. Step 4: Simplify right side
    11,314.69x = 597,151,695.97
  5. Step 5: Solve for x
    x = 597,151,695.97/11,314.69
  6. Step 6: Final answer
    x = 52,776.68

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Why These Related Problems?

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