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Finding the Third Proportional to 24,942.94 and 36,379.13

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Solution

The third proportional to 24,942.94 and 36,379.13 is: 53,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.94 : 36,379.13 = 36,379.13 : x
  2. Step 2: Convert to fraction form
    24,942.94/36,379.13 = 36,379.13/x
  3. Step 3: Cross multiply
    24,942.94x = 36,379.13 × 36,379.13
  4. Step 4: Simplify right side
    24,942.94x = 1,323,440,735.77
  5. Step 5: Solve for x
    x = 1,323,440,735.77/24,942.94
  6. Step 6: Final answer
    x = 53,058.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.