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Finding the Third Proportional to 3,222 and 5,164

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Solution

The third proportional to 3,222 and 5,164 is: 8,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 5,164 = 5,164 : x
  2. Step 2: Convert to fraction form
    3,222/5,164 = 5,164/x
  3. Step 3: Cross multiply
    3,222x = 5,164 × 5,164
  4. Step 4: Simplify right side
    3,222x = 26,666,896
  5. Step 5: Solve for x
    x = 26,666,896/3,222
  6. Step 6: Final answer
    x = 8,276.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.