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Finding the Third Proportional to 44,751 and 67,026

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Solution

The third proportional to 44,751 and 67,026 is: 100,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,751 : 67,026 = 67,026 : x
  2. Step 2: Convert to fraction form
    44,751/67,026 = 67,026/x
  3. Step 3: Cross multiply
    44,751x = 67,026 × 67,026
  4. Step 4: Simplify right side
    44,751x = 4,492,484,676
  5. Step 5: Solve for x
    x = 4,492,484,676/44,751
  6. Step 6: Final answer
    x = 100,388.48

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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.