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Finding the Third Proportional to 15,379.31 and 24,093.84

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Solution

The third proportional to 15,379.31 and 24,093.84 is: 37,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,379.31 : 24,093.84 = 24,093.84 : x
  2. Step 2: Convert to fraction form
    15,379.31/24,093.84 = 24,093.84/x
  3. Step 3: Cross multiply
    15,379.31x = 24,093.84 × 24,093.84
  4. Step 4: Simplify right side
    15,379.31x = 580,513,306.65
  5. Step 5: Solve for x
    x = 580,513,306.65/15,379.31
  6. Step 6: Final answer
    x = 37,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.