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Finding the Third Proportional to 12,933.84 and 16,962.75

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Solution

The third proportional to 12,933.84 and 16,962.75 is: 22,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.84 : 16,962.75 = 16,962.75 : x
  2. Step 2: Convert to fraction form
    12,933.84/16,962.75 = 16,962.75/x
  3. Step 3: Cross multiply
    12,933.84x = 16,962.75 × 16,962.75
  4. Step 4: Simplify right side
    12,933.84x = 287,734,887.56
  5. Step 5: Solve for x
    x = 287,734,887.56/12,933.84
  6. Step 6: Final answer
    x = 22,246.66

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.