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Finding the Third Proportional to 3,222 and 8,365.50

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Solution

The third proportional to 3,222 and 8,365.50 is: 21,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 8,365.50 = 8,365.50 : x
  2. Step 2: Convert to fraction form
    3,222/8,365.50 = 8,365.50/x
  3. Step 3: Cross multiply
    3,222x = 8,365.50 × 8,365.50
  4. Step 4: Simplify right side
    3,222x = 69,981,590.25
  5. Step 5: Solve for x
    x = 69,981,590.25/3,222
  6. Step 6: Final answer
    x = 21,719.92

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.