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Finding the Third Proportional to 26,176 and 33,968

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Solution

The third proportional to 26,176 and 33,968 is: 44,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176 : 33,968 = 33,968 : x
  2. Step 2: Convert to fraction form
    26,176/33,968 = 33,968/x
  3. Step 3: Cross multiply
    26,176x = 33,968 × 33,968
  4. Step 4: Simplify right side
    26,176x = 1,153,825,024
  5. Step 5: Solve for x
    x = 1,153,825,024/26,176
  6. Step 6: Final answer
    x = 44,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.