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Finding the Third Proportional to 51,728 and 82,648

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Solution

The third proportional to 51,728 and 82,648 is: 132,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 82,648 = 82,648 : x
  2. Step 2: Convert to fraction form
    51,728/82,648 = 82,648/x
  3. Step 3: Cross multiply
    51,728x = 82,648 × 82,648
  4. Step 4: Simplify right side
    51,728x = 6,830,691,904
  5. Step 5: Solve for x
    x = 6,830,691,904/51,728
  6. Step 6: Final answer
    x = 132,050.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.