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Finding the Third Proportional to 16,698 and 25,676.50

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Solution

The third proportional to 16,698 and 25,676.50 is: 39,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 25,676.50 = 25,676.50 : x
  2. Step 2: Convert to fraction form
    16,698/25,676.50 = 25,676.50/x
  3. Step 3: Cross multiply
    16,698x = 25,676.50 × 25,676.50
  4. Step 4: Simplify right side
    16,698x = 659,282,652.25
  5. Step 5: Solve for x
    x = 659,282,652.25/16,698
  6. Step 6: Final answer
    x = 39,482.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.