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Finding the Third Proportional to 26,649 and 62,830.50

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Solution

The third proportional to 26,649 and 62,830.50 is: 148,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649 : 62,830.50 = 62,830.50 : x
  2. Step 2: Convert to fraction form
    26,649/62,830.50 = 62,830.50/x
  3. Step 3: Cross multiply
    26,649x = 62,830.50 × 62,830.50
  4. Step 4: Simplify right side
    26,649x = 3,947,671,730.25
  5. Step 5: Solve for x
    x = 3,947,671,730.25/26,649
  6. Step 6: Final answer
    x = 148,135.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.