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Finding the Third Proportional to 30,658.50 and 36,262.69

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Solution

The third proportional to 30,658.50 and 36,262.69 is: 42,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 36,262.69 = 36,262.69 : x
  2. Step 2: Convert to fraction form
    30,658.50/36,262.69 = 36,262.69/x
  3. Step 3: Cross multiply
    30,658.50x = 36,262.69 × 36,262.69
  4. Step 4: Simplify right side
    30,658.50x = 1,314,982,504.72
  5. Step 5: Solve for x
    x = 1,314,982,504.72/30,658.50
  6. Step 6: Final answer
    x = 42,891.29

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.