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Finding the Third Proportional to 27,685 and 44,073

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Solution

The third proportional to 27,685 and 44,073 is: 70,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685 : 44,073 = 44,073 : x
  2. Step 2: Convert to fraction form
    27,685/44,073 = 44,073/x
  3. Step 3: Cross multiply
    27,685x = 44,073 × 44,073
  4. Step 4: Simplify right side
    27,685x = 1,942,429,329
  5. Step 5: Solve for x
    x = 1,942,429,329/27,685
  6. Step 6: Final answer
    x = 70,161.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.