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Finding the Third Proportional to 36,246 and 56,019

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Solution

The third proportional to 36,246 and 56,019 is: 86,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,246 : 56,019 = 56,019 : x
  2. Step 2: Convert to fraction form
    36,246/56,019 = 56,019/x
  3. Step 3: Cross multiply
    36,246x = 56,019 × 56,019
  4. Step 4: Simplify right side
    36,246x = 3,138,128,361
  5. Step 5: Solve for x
    x = 3,138,128,361/36,246
  6. Step 6: Final answer
    x = 86,578.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.