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Finding the Third Proportional to 22,033.98 and 33,567.35

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Solution

The third proportional to 22,033.98 and 33,567.35 is: 51,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.98 : 33,567.35 = 33,567.35 : x
  2. Step 2: Convert to fraction form
    22,033.98/33,567.35 = 33,567.35/x
  3. Step 3: Cross multiply
    22,033.98x = 33,567.35 × 33,567.35
  4. Step 4: Simplify right side
    22,033.98x = 1,126,766,697.55
  5. Step 5: Solve for x
    x = 1,126,766,697.55/22,033.98
  6. Step 6: Final answer
    x = 51,137.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.