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Finding the Third Proportional to 17,788.50 and 25,764

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Solution

The third proportional to 17,788.50 and 25,764 is: 37,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.50 : 25,764 = 25,764 : x
  2. Step 2: Convert to fraction form
    17,788.50/25,764 = 25,764/x
  3. Step 3: Cross multiply
    17,788.50x = 25,764 × 25,764
  4. Step 4: Simplify right side
    17,788.50x = 663,783,696
  5. Step 5: Solve for x
    x = 663,783,696/17,788.50
  6. Step 6: Final answer
    x = 37,315.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.