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Finding the Third Proportional to 36,682.50 and 58,306.69

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Solution

The third proportional to 36,682.50 and 58,306.69 is: 92,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,682.50 : 58,306.69 = 58,306.69 : x
  2. Step 2: Convert to fraction form
    36,682.50/58,306.69 = 58,306.69/x
  3. Step 3: Cross multiply
    36,682.50x = 58,306.69 × 58,306.69
  4. Step 4: Simplify right side
    36,682.50x = 3,399,669,807.22
  5. Step 5: Solve for x
    x = 3,399,669,807.22/36,682.50
  6. Step 6: Final answer
    x = 92,678.25

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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.