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Finding the Third Proportional to 46,982 and 72,795

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Solution

The third proportional to 46,982 and 72,795 is: 112,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,982 : 72,795 = 72,795 : x
  2. Step 2: Convert to fraction form
    46,982/72,795 = 72,795/x
  3. Step 3: Cross multiply
    46,982x = 72,795 × 72,795
  4. Step 4: Simplify right side
    46,982x = 5,299,112,025
  5. Step 5: Solve for x
    x = 5,299,112,025/46,982
  6. Step 6: Final answer
    x = 112,790.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.