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Finding the Third Proportional to 36,134 and 53,929

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Solution

The third proportional to 36,134 and 53,929 is: 80,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134 : 53,929 = 53,929 : x
  2. Step 2: Convert to fraction form
    36,134/53,929 = 53,929/x
  3. Step 3: Cross multiply
    36,134x = 53,929 × 53,929
  4. Step 4: Simplify right side
    36,134x = 2,908,337,041
  5. Step 5: Solve for x
    x = 2,908,337,041/36,134
  6. Step 6: Final answer
    x = 80,487.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.