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Finding the Third Proportional to 43,740 and 67,550

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Solution

The third proportional to 43,740 and 67,550 is: 104,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,740 : 67,550 = 67,550 : x
  2. Step 2: Convert to fraction form
    43,740/67,550 = 67,550/x
  3. Step 3: Cross multiply
    43,740x = 67,550 × 67,550
  4. Step 4: Simplify right side
    43,740x = 4,563,002,500
  5. Step 5: Solve for x
    x = 4,563,002,500/43,740
  6. Step 6: Final answer
    x = 104,321.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.