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Finding the Third Proportional to 4,212 and 8,221.50

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Solution

The third proportional to 4,212 and 8,221.50 is: 16,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 8,221.50 = 8,221.50 : x
  2. Step 2: Convert to fraction form
    4,212/8,221.50 = 8,221.50/x
  3. Step 3: Cross multiply
    4,212x = 8,221.50 × 8,221.50
  4. Step 4: Simplify right side
    4,212x = 67,593,062.25
  5. Step 5: Solve for x
    x = 67,593,062.25/4,212
  6. Step 6: Final answer
    x = 16,047.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.