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Finding the Third Proportional to 16,203 and 23,416.50

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Solution

The third proportional to 16,203 and 23,416.50 is: 33,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203 : 23,416.50 = 23,416.50 : x
  2. Step 2: Convert to fraction form
    16,203/23,416.50 = 23,416.50/x
  3. Step 3: Cross multiply
    16,203x = 23,416.50 × 23,416.50
  4. Step 4: Simplify right side
    16,203x = 548,332,472.25
  5. Step 5: Solve for x
    x = 548,332,472.25/16,203
  6. Step 6: Final answer
    x = 33,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.