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Finding the Third Proportional to 3,213 and 8,221.50

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Solution

The third proportional to 3,213 and 8,221.50 is: 21,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 8,221.50 = 8,221.50 : x
  2. Step 2: Convert to fraction form
    3,213/8,221.50 = 8,221.50/x
  3. Step 3: Cross multiply
    3,213x = 8,221.50 × 8,221.50
  4. Step 4: Simplify right side
    3,213x = 67,593,062.25
  5. Step 5: Solve for x
    x = 67,593,062.25/3,213
  6. Step 6: Final answer
    x = 21,037.37

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.