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Finding the Third Proportional to 9,518.28 and 13,952.67

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Solution

The third proportional to 9,518.28 and 13,952.67 is: 20,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.28 : 13,952.67 = 13,952.67 : x
  2. Step 2: Convert to fraction form
    9,518.28/13,952.67 = 13,952.67/x
  3. Step 3: Cross multiply
    9,518.28x = 13,952.67 × 13,952.67
  4. Step 4: Simplify right side
    9,518.28x = 194,677,052.45
  5. Step 5: Solve for x
    x = 194,677,052.45/9,518.28
  6. Step 6: Final answer
    x = 20,452.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.