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Finding the Third Proportional to 16,154.44 and 24,824.39

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Solution

The third proportional to 16,154.44 and 24,824.39 is: 38,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.44 : 24,824.39 = 24,824.39 : x
  2. Step 2: Convert to fraction form
    16,154.44/24,824.39 = 24,824.39/x
  3. Step 3: Cross multiply
    16,154.44x = 24,824.39 × 24,824.39
  4. Step 4: Simplify right side
    16,154.44x = 616,250,369.90
  5. Step 5: Solve for x
    x = 616,250,369.90/16,154.44
  6. Step 6: Final answer
    x = 38,147.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.