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Finding the Third Proportional to 13,999.08 and 21,676.36

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Solution

The third proportional to 13,999.08 and 21,676.36 is: 33,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.08 : 21,676.36 = 21,676.36 : x
  2. Step 2: Convert to fraction form
    13,999.08/21,676.36 = 21,676.36/x
  3. Step 3: Cross multiply
    13,999.08x = 21,676.36 × 21,676.36
  4. Step 4: Simplify right side
    13,999.08x = 469,864,555.75
  5. Step 5: Solve for x
    x = 469,864,555.75/13,999.08
  6. Step 6: Final answer
    x = 33,563.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.