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Finding the Third Proportional to 43,683 and 65,455

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Solution

The third proportional to 43,683 and 65,455 is: 98,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683 : 65,455 = 65,455 : x
  2. Step 2: Convert to fraction form
    43,683/65,455 = 65,455/x
  3. Step 3: Cross multiply
    43,683x = 65,455 × 65,455
  4. Step 4: Simplify right side
    43,683x = 4,284,357,025
  5. Step 5: Solve for x
    x = 4,284,357,025/43,683
  6. Step 6: Final answer
    x = 98,078.36

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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.