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Finding the Third Proportional to 16,808.50 and 25,638

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Solution

The third proportional to 16,808.50 and 25,638 is: 39,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.50 : 25,638 = 25,638 : x
  2. Step 2: Convert to fraction form
    16,808.50/25,638 = 25,638/x
  3. Step 3: Cross multiply
    16,808.50x = 25,638 × 25,638
  4. Step 4: Simplify right side
    16,808.50x = 657,307,044
  5. Step 5: Solve for x
    x = 657,307,044/16,808.50
  6. Step 6: Final answer
    x = 39,105.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.