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Finding the Third Proportional to 36,338.50 and 48,834.50

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Solution

The third proportional to 36,338.50 and 48,834.50 is: 65,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338.50 : 48,834.50 = 48,834.50 : x
  2. Step 2: Convert to fraction form
    36,338.50/48,834.50 = 48,834.50/x
  3. Step 3: Cross multiply
    36,338.50x = 48,834.50 × 48,834.50
  4. Step 4: Simplify right side
    36,338.50x = 2,384,808,390.25
  5. Step 5: Solve for x
    x = 2,384,808,390.25/36,338.50
  6. Step 6: Final answer
    x = 65,627.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.