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Finding the Third Proportional to 36,756 and 56,286

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Solution

The third proportional to 36,756 and 56,286 is: 86,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,756 : 56,286 = 56,286 : x
  2. Step 2: Convert to fraction form
    36,756/56,286 = 56,286/x
  3. Step 3: Cross multiply
    36,756x = 56,286 × 56,286
  4. Step 4: Simplify right side
    36,756x = 3,168,113,796
  5. Step 5: Solve for x
    x = 3,168,113,796/36,756
  6. Step 6: Final answer
    x = 86,193.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.