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Finding the Third Proportional to 14,950.50 and 32,046.75

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Solution

The third proportional to 14,950.50 and 32,046.75 is: 68,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.50 : 32,046.75 = 32,046.75 : x
  2. Step 2: Convert to fraction form
    14,950.50/32,046.75 = 32,046.75/x
  3. Step 3: Cross multiply
    14,950.50x = 32,046.75 × 32,046.75
  4. Step 4: Simplify right side
    14,950.50x = 1,026,994,185.56
  5. Step 5: Solve for x
    x = 1,026,994,185.56/14,950.50
  6. Step 6: Final answer
    x = 68,692.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.