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Finding the Third Proportional to 34,210 and 50,131

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Solution

The third proportional to 34,210 and 50,131 is: 73,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210 : 50,131 = 50,131 : x
  2. Step 2: Convert to fraction form
    34,210/50,131 = 50,131/x
  3. Step 3: Cross multiply
    34,210x = 50,131 × 50,131
  4. Step 4: Simplify right side
    34,210x = 2,513,117,161
  5. Step 5: Solve for x
    x = 2,513,117,161/34,210
  6. Step 6: Final answer
    x = 73,461.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.