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Finding the Third Proportional to 12,005.63 and 16,899.75

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Solution

The third proportional to 12,005.63 and 16,899.75 is: 23,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.63 : 16,899.75 = 16,899.75 : x
  2. Step 2: Convert to fraction form
    12,005.63/16,899.75 = 16,899.75/x
  3. Step 3: Cross multiply
    12,005.63x = 16,899.75 × 16,899.75
  4. Step 4: Simplify right side
    12,005.63x = 285,601,550.06
  5. Step 5: Solve for x
    x = 285,601,550.06/12,005.63
  6. Step 6: Final answer
    x = 23,788.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.