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Finding the Third Proportional to 13,033.25 and 28,658.50

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Solution

The third proportional to 13,033.25 and 28,658.50 is: 63,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.25 : 28,658.50 = 28,658.50 : x
  2. Step 2: Convert to fraction form
    13,033.25/28,658.50 = 28,658.50/x
  3. Step 3: Cross multiply
    13,033.25x = 28,658.50 × 28,658.50
  4. Step 4: Simplify right side
    13,033.25x = 821,309,622.25
  5. Step 5: Solve for x
    x = 821,309,622.25/13,033.25
  6. Step 6: Final answer
    x = 63,016.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.