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Finding the Third Proportional to 22,037 and 45,766

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Solution

The third proportional to 22,037 and 45,766 is: 95,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 45,766 = 45,766 : x
  2. Step 2: Convert to fraction form
    22,037/45,766 = 45,766/x
  3. Step 3: Cross multiply
    22,037x = 45,766 × 45,766
  4. Step 4: Simplify right side
    22,037x = 2,094,526,756
  5. Step 5: Solve for x
    x = 2,094,526,756/22,037
  6. Step 6: Final answer
    x = 95,045.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.