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Finding the Third Proportional to 44,751 and 68,836.50

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Solution

The third proportional to 44,751 and 68,836.50 is: 105,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,751 : 68,836.50 = 68,836.50 : x
  2. Step 2: Convert to fraction form
    44,751/68,836.50 = 68,836.50/x
  3. Step 3: Cross multiply
    44,751x = 68,836.50 × 68,836.50
  4. Step 4: Simplify right side
    44,751x = 4,738,463,732.25
  5. Step 5: Solve for x
    x = 4,738,463,732.25/44,751
  6. Step 6: Final answer
    x = 105,885.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.