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Finding the Third Proportional to 40,968 and 65,318

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Solution

The third proportional to 40,968 and 65,318 is: 104,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,968 : 65,318 = 65,318 : x
  2. Step 2: Convert to fraction form
    40,968/65,318 = 65,318/x
  3. Step 3: Cross multiply
    40,968x = 65,318 × 65,318
  4. Step 4: Simplify right side
    40,968x = 4,266,441,124
  5. Step 5: Solve for x
    x = 4,266,441,124/40,968
  6. Step 6: Final answer
    x = 104,140.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.