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Finding the Third Proportional to 9,219.38 and 13,838.06

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Solution

The third proportional to 9,219.38 and 13,838.06 is: 20,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.38 : 13,838.06 = 13,838.06 : x
  2. Step 2: Convert to fraction form
    9,219.38/13,838.06 = 13,838.06/x
  3. Step 3: Cross multiply
    9,219.38x = 13,838.06 × 13,838.06
  4. Step 4: Simplify right side
    9,219.38x = 191,491,973.75
  5. Step 5: Solve for x
    x = 191,491,973.75/9,219.38
  6. Step 6: Final answer
    x = 20,770.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.