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Finding the Third Proportional to 34,608 and 54,228

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Solution

The third proportional to 34,608 and 54,228 is: 84,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,608 : 54,228 = 54,228 : x
  2. Step 2: Convert to fraction form
    34,608/54,228 = 54,228/x
  3. Step 3: Cross multiply
    34,608x = 54,228 × 54,228
  4. Step 4: Simplify right side
    34,608x = 2,940,675,984
  5. Step 5: Solve for x
    x = 2,940,675,984/34,608
  6. Step 6: Final answer
    x = 84,970.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.