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Finding the Third Proportional to 16,204.69 and 24,998.44

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Solution

The third proportional to 16,204.69 and 24,998.44 is: 38,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.69 : 24,998.44 = 24,998.44 : x
  2. Step 2: Convert to fraction form
    16,204.69/24,998.44 = 24,998.44/x
  3. Step 3: Cross multiply
    16,204.69x = 24,998.44 × 24,998.44
  4. Step 4: Simplify right side
    16,204.69x = 624,921,877.44
  5. Step 5: Solve for x
    x = 624,921,877.44/16,204.69
  6. Step 6: Final answer
    x = 38,564.27

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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.