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Finding the Third Proportional to 6,748.95 and 14,016.16

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Solution

The third proportional to 6,748.95 and 14,016.16 is: 29,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.95 : 14,016.16 = 14,016.16 : x
  2. Step 2: Convert to fraction form
    6,748.95/14,016.16 = 14,016.16/x
  3. Step 3: Cross multiply
    6,748.95x = 14,016.16 × 14,016.16
  4. Step 4: Simplify right side
    6,748.95x = 196,452,855.03
  5. Step 5: Solve for x
    x = 196,452,855.03/6,748.95
  6. Step 6: Final answer
    x = 29,108.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.