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Finding the Third Proportional to 16,523.25 and 34,930.50

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Solution

The third proportional to 16,523.25 and 34,930.50 is: 73,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.25 : 34,930.50 = 34,930.50 : x
  2. Step 2: Convert to fraction form
    16,523.25/34,930.50 = 34,930.50/x
  3. Step 3: Cross multiply
    16,523.25x = 34,930.50 × 34,930.50
  4. Step 4: Simplify right side
    16,523.25x = 1,220,139,830.25
  5. Step 5: Solve for x
    x = 1,220,139,830.25/16,523.25
  6. Step 6: Final answer
    x = 73,843.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.