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Finding the Third Proportional to 5,308.03 and 13,520.67

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Solution

The third proportional to 5,308.03 and 13,520.67 is: 34,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.03 : 13,520.67 = 13,520.67 : x
  2. Step 2: Convert to fraction form
    5,308.03/13,520.67 = 13,520.67/x
  3. Step 3: Cross multiply
    5,308.03x = 13,520.67 × 13,520.67
  4. Step 4: Simplify right side
    5,308.03x = 182,808,567.95
  5. Step 5: Solve for x
    x = 182,808,567.95/5,308.03
  6. Step 6: Final answer
    x = 34,439.99

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These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.