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Finding the Third Proportional to 36,706 and 51,074

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Solution

The third proportional to 36,706 and 51,074 is: 71,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706 : 51,074 = 51,074 : x
  2. Step 2: Convert to fraction form
    36,706/51,074 = 51,074/x
  3. Step 3: Cross multiply
    36,706x = 51,074 × 51,074
  4. Step 4: Simplify right side
    36,706x = 2,608,553,476
  5. Step 5: Solve for x
    x = 2,608,553,476/36,706
  6. Step 6: Final answer
    x = 71,066.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.