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Finding the Third Proportional to 26,377 and 63,034

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Solution

The third proportional to 26,377 and 63,034 is: 150,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,377 : 63,034 = 63,034 : x
  2. Step 2: Convert to fraction form
    26,377/63,034 = 63,034/x
  3. Step 3: Cross multiply
    26,377x = 63,034 × 63,034
  4. Step 4: Simplify right side
    26,377x = 3,973,285,156
  5. Step 5: Solve for x
    x = 3,973,285,156/26,377
  6. Step 6: Final answer
    x = 150,634.46

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.