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Finding the Third Proportional to 36,086 and 56,011

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Solution

The third proportional to 36,086 and 56,011 is: 86,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,086 : 56,011 = 56,011 : x
  2. Step 2: Convert to fraction form
    36,086/56,011 = 56,011/x
  3. Step 3: Cross multiply
    36,086x = 56,011 × 56,011
  4. Step 4: Simplify right side
    36,086x = 3,137,232,121
  5. Step 5: Solve for x
    x = 3,137,232,121/36,086
  6. Step 6: Final answer
    x = 86,937.65

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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.