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Finding the Third Proportional to 16,401.75 and 39,271.50

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Solution

The third proportional to 16,401.75 and 39,271.50 is: 94,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.75 : 39,271.50 = 39,271.50 : x
  2. Step 2: Convert to fraction form
    16,401.75/39,271.50 = 39,271.50/x
  3. Step 3: Cross multiply
    16,401.75x = 39,271.50 × 39,271.50
  4. Step 4: Simplify right side
    16,401.75x = 1,542,250,712.25
  5. Step 5: Solve for x
    x = 1,542,250,712.25/16,401.75
  6. Step 6: Final answer
    x = 94,029.64

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.