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Finding the Third Proportional to 34,411 and 50,977

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Solution

The third proportional to 34,411 and 50,977 is: 75,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411 : 50,977 = 50,977 : x
  2. Step 2: Convert to fraction form
    34,411/50,977 = 50,977/x
  3. Step 3: Cross multiply
    34,411x = 50,977 × 50,977
  4. Step 4: Simplify right side
    34,411x = 2,598,654,529
  5. Step 5: Solve for x
    x = 2,598,654,529/34,411
  6. Step 6: Final answer
    x = 75,518.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.