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Finding the Third Proportional to 27,222 and 40,833

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Solution

The third proportional to 27,222 and 40,833 is: 61,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222 : 40,833 = 40,833 : x
  2. Step 2: Convert to fraction form
    27,222/40,833 = 40,833/x
  3. Step 3: Cross multiply
    27,222x = 40,833 × 40,833
  4. Step 4: Simplify right side
    27,222x = 1,667,333,889
  5. Step 5: Solve for x
    x = 1,667,333,889/27,222
  6. Step 6: Final answer
    x = 61,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.