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Finding the Third Proportional to 15,911.44 and 24,416.44

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Solution

The third proportional to 15,911.44 and 24,416.44 is: 37,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.44 : 24,416.44 = 24,416.44 : x
  2. Step 2: Convert to fraction form
    15,911.44/24,416.44 = 24,416.44/x
  3. Step 3: Cross multiply
    15,911.44x = 24,416.44 × 24,416.44
  4. Step 4: Simplify right side
    15,911.44x = 596,162,420.19
  5. Step 5: Solve for x
    x = 596,162,420.19/15,911.44
  6. Step 6: Final answer
    x = 37,467.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.