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Finding the Third Proportional to 15,378.19 and 24,092.44

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Solution

The third proportional to 15,378.19 and 24,092.44 is: 37,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.19 : 24,092.44 = 24,092.44 : x
  2. Step 2: Convert to fraction form
    15,378.19/24,092.44 = 24,092.44/x
  3. Step 3: Cross multiply
    15,378.19x = 24,092.44 × 24,092.44
  4. Step 4: Simplify right side
    15,378.19x = 580,445,544.69
  5. Step 5: Solve for x
    x = 580,445,544.69/15,378.19
  6. Step 6: Final answer
    x = 37,744.73

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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.