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Finding the Third Proportional to 24,961.50 and 35,106.75

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Solution

The third proportional to 24,961.50 and 35,106.75 is: 49,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961.50 : 35,106.75 = 35,106.75 : x
  2. Step 2: Convert to fraction form
    24,961.50/35,106.75 = 35,106.75/x
  3. Step 3: Cross multiply
    24,961.50x = 35,106.75 × 35,106.75
  4. Step 4: Simplify right side
    24,961.50x = 1,232,483,895.56
  5. Step 5: Solve for x
    x = 1,232,483,895.56/24,961.50
  6. Step 6: Final answer
    x = 49,375.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.