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Finding the Third Proportional to 36,811.13 and 58,383.07

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Solution

The third proportional to 36,811.13 and 58,383.07 is: 92,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,811.13 : 58,383.07 = 58,383.07 : x
  2. Step 2: Convert to fraction form
    36,811.13/58,383.07 = 58,383.07/x
  3. Step 3: Cross multiply
    36,811.13x = 58,383.07 × 58,383.07
  4. Step 4: Simplify right side
    36,811.13x = 3,408,582,899.11
  5. Step 5: Solve for x
    x = 3,408,582,899.11/36,811.13
  6. Step 6: Final answer
    x = 92,596.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.