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Finding the Third Proportional to 43,494 and 65,338

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Solution

The third proportional to 43,494 and 65,338 is: 98,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494 : 65,338 = 65,338 : x
  2. Step 2: Convert to fraction form
    43,494/65,338 = 65,338/x
  3. Step 3: Cross multiply
    43,494x = 65,338 × 65,338
  4. Step 4: Simplify right side
    43,494x = 4,269,054,244
  5. Step 5: Solve for x
    x = 4,269,054,244/43,494
  6. Step 6: Final answer
    x = 98,152.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.