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Finding the Third Proportional to 16,647.75 and 25,078.50

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Solution

The third proportional to 16,647.75 and 25,078.50 is: 37,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.75 : 25,078.50 = 25,078.50 : x
  2. Step 2: Convert to fraction form
    16,647.75/25,078.50 = 25,078.50/x
  3. Step 3: Cross multiply
    16,647.75x = 25,078.50 × 25,078.50
  4. Step 4: Simplify right side
    16,647.75x = 628,931,162.25
  5. Step 5: Solve for x
    x = 628,931,162.25/16,647.75
  6. Step 6: Final answer
    x = 37,778.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.