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Finding the Third Proportional to 43,994 and 62,683

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Solution

The third proportional to 43,994 and 62,683 is: 89,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,994 : 62,683 = 62,683 : x
  2. Step 2: Convert to fraction form
    43,994/62,683 = 62,683/x
  3. Step 3: Cross multiply
    43,994x = 62,683 × 62,683
  4. Step 4: Simplify right side
    43,994x = 3,929,158,489
  5. Step 5: Solve for x
    x = 3,929,158,489/43,994
  6. Step 6: Final answer
    x = 89,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.