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Finding the Third Proportional to 36,716 and 58,354.50

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Solution

The third proportional to 36,716 and 58,354.50 is: 92,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,716 : 58,354.50 = 58,354.50 : x
  2. Step 2: Convert to fraction form
    36,716/58,354.50 = 58,354.50/x
  3. Step 3: Cross multiply
    36,716x = 58,354.50 × 58,354.50
  4. Step 4: Simplify right side
    36,716x = 3,405,247,670.25
  5. Step 5: Solve for x
    x = 3,405,247,670.25/36,716
  6. Step 6: Final answer
    x = 92,745.61

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