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Finding the Third Proportional to 34,540 and 52,176

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Solution

The third proportional to 34,540 and 52,176 is: 78,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 52,176 = 52,176 : x
  2. Step 2: Convert to fraction form
    34,540/52,176 = 52,176/x
  3. Step 3: Cross multiply
    34,540x = 52,176 × 52,176
  4. Step 4: Simplify right side
    34,540x = 2,722,334,976
  5. Step 5: Solve for x
    x = 2,722,334,976/34,540
  6. Step 6: Final answer
    x = 78,816.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.