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Finding the Third Proportional to 16,764.75 and 25,969.50

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Solution

The third proportional to 16,764.75 and 25,969.50 is: 40,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.75 : 25,969.50 = 25,969.50 : x
  2. Step 2: Convert to fraction form
    16,764.75/25,969.50 = 25,969.50/x
  3. Step 3: Cross multiply
    16,764.75x = 25,969.50 × 25,969.50
  4. Step 4: Simplify right side
    16,764.75x = 674,414,930.25
  5. Step 5: Solve for x
    x = 674,414,930.25/16,764.75
  6. Step 6: Final answer
    x = 40,228.15

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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.