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Finding the Third Proportional to 16,214.50 and 33,644

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Solution

The third proportional to 16,214.50 and 33,644 is: 69,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.50 : 33,644 = 33,644 : x
  2. Step 2: Convert to fraction form
    16,214.50/33,644 = 33,644/x
  3. Step 3: Cross multiply
    16,214.50x = 33,644 × 33,644
  4. Step 4: Simplify right side
    16,214.50x = 1,131,918,736
  5. Step 5: Solve for x
    x = 1,131,918,736/16,214.50
  6. Step 6: Final answer
    x = 69,809.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.