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Finding the Third Proportional to 4,065.75 and 8,308.50

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Solution

The third proportional to 4,065.75 and 8,308.50 is: 16,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.75 : 8,308.50 = 8,308.50 : x
  2. Step 2: Convert to fraction form
    4,065.75/8,308.50 = 8,308.50/x
  3. Step 3: Cross multiply
    4,065.75x = 8,308.50 × 8,308.50
  4. Step 4: Simplify right side
    4,065.75x = 69,031,172.25
  5. Step 5: Solve for x
    x = 69,031,172.25/4,065.75
  6. Step 6: Final answer
    x = 16,978.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.