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Finding the Third Proportional to 26,354 and 34,995

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Solution

The third proportional to 26,354 and 34,995 is: 46,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354 : 34,995 = 34,995 : x
  2. Step 2: Convert to fraction form
    26,354/34,995 = 34,995/x
  3. Step 3: Cross multiply
    26,354x = 34,995 × 34,995
  4. Step 4: Simplify right side
    26,354x = 1,224,650,025
  5. Step 5: Solve for x
    x = 1,224,650,025/26,354
  6. Step 6: Final answer
    x = 46,469.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.