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Finding the Third Proportional to 43,648 and 65,400

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Solution

The third proportional to 43,648 and 65,400 is: 97,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648 : 65,400 = 65,400 : x
  2. Step 2: Convert to fraction form
    43,648/65,400 = 65,400/x
  3. Step 3: Cross multiply
    43,648x = 65,400 × 65,400
  4. Step 4: Simplify right side
    43,648x = 4,277,160,000
  5. Step 5: Solve for x
    x = 4,277,160,000/43,648
  6. Step 6: Final answer
    x = 97,992.12

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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.