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Finding the Third Proportional to 43,670 and 67,640

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Solution

The third proportional to 43,670 and 67,640 is: 104,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,670 : 67,640 = 67,640 : x
  2. Step 2: Convert to fraction form
    43,670/67,640 = 67,640/x
  3. Step 3: Cross multiply
    43,670x = 67,640 × 67,640
  4. Step 4: Simplify right side
    43,670x = 4,575,169,600
  5. Step 5: Solve for x
    x = 4,575,169,600/43,670
  6. Step 6: Final answer
    x = 104,766.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.