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Finding the Third Proportional to 43,968 and 65,456

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Solution

The third proportional to 43,968 and 65,456 is: 97,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 65,456 = 65,456 : x
  2. Step 2: Convert to fraction form
    43,968/65,456 = 65,456/x
  3. Step 3: Cross multiply
    43,968x = 65,456 × 65,456
  4. Step 4: Simplify right side
    43,968x = 4,284,487,936
  5. Step 5: Solve for x
    x = 4,284,487,936/43,968
  6. Step 6: Final answer
    x = 97,445.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.