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Finding the Third Proportional to 26,237 and 48,649

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Solution

The third proportional to 26,237 and 48,649 is: 90,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,237 : 48,649 = 48,649 : x
  2. Step 2: Convert to fraction form
    26,237/48,649 = 48,649/x
  3. Step 3: Cross multiply
    26,237x = 48,649 × 48,649
  4. Step 4: Simplify right side
    26,237x = 2,366,725,201
  5. Step 5: Solve for x
    x = 2,366,725,201/26,237
  6. Step 6: Final answer
    x = 90,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.