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Finding the Third Proportional to 11,379.23 and 24,842.95

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Solution

The third proportional to 11,379.23 and 24,842.95 is: 54,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.23 : 24,842.95 = 24,842.95 : x
  2. Step 2: Convert to fraction form
    11,379.23/24,842.95 = 24,842.95/x
  3. Step 3: Cross multiply
    11,379.23x = 24,842.95 × 24,842.95
  4. Step 4: Simplify right side
    11,379.23x = 617,172,319.97
  5. Step 5: Solve for x
    x = 617,172,319.97/11,379.23
  6. Step 6: Final answer
    x = 54,236.72

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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.