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Finding the Third Proportional to 34,728 and 52,254

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Solution

The third proportional to 34,728 and 52,254 is: 78,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728 : 52,254 = 52,254 : x
  2. Step 2: Convert to fraction form
    34,728/52,254 = 52,254/x
  3. Step 3: Cross multiply
    34,728x = 52,254 × 52,254
  4. Step 4: Simplify right side
    34,728x = 2,730,480,516
  5. Step 5: Solve for x
    x = 2,730,480,516/34,728
  6. Step 6: Final answer
    x = 78,624.76

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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.