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Finding the Third Proportional to 27,774 and 59,652

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Solution

The third proportional to 27,774 and 59,652 is: 128,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 59,652 = 59,652 : x
  2. Step 2: Convert to fraction form
    27,774/59,652 = 59,652/x
  3. Step 3: Cross multiply
    27,774x = 59,652 × 59,652
  4. Step 4: Simplify right side
    27,774x = 3,558,361,104
  5. Step 5: Solve for x
    x = 3,558,361,104/27,774
  6. Step 6: Final answer
    x = 128,118.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.