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Finding the Third Proportional to 31,913 and 50,510

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Solution

The third proportional to 31,913 and 50,510 is: 79,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913 : 50,510 = 50,510 : x
  2. Step 2: Convert to fraction form
    31,913/50,510 = 50,510/x
  3. Step 3: Cross multiply
    31,913x = 50,510 × 50,510
  4. Step 4: Simplify right side
    31,913x = 2,551,260,100
  5. Step 5: Solve for x
    x = 2,551,260,100/31,913
  6. Step 6: Final answer
    x = 79,944.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.