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Finding the Third Proportional to 26,866 and 46,635

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Solution

The third proportional to 26,866 and 46,635 is: 80,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 46,635 = 46,635 : x
  2. Step 2: Convert to fraction form
    26,866/46,635 = 46,635/x
  3. Step 3: Cross multiply
    26,866x = 46,635 × 46,635
  4. Step 4: Simplify right side
    26,866x = 2,174,823,225
  5. Step 5: Solve for x
    x = 2,174,823,225/26,866
  6. Step 6: Final answer
    x = 80,950.76

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.