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Finding the Third Proportional to 6,494.44 and 14,158.88

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Solution

The third proportional to 6,494.44 and 14,158.88 is: 30,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.44 : 14,158.88 = 14,158.88 : x
  2. Step 2: Convert to fraction form
    6,494.44/14,158.88 = 14,158.88/x
  3. Step 3: Cross multiply
    6,494.44x = 14,158.88 × 14,158.88
  4. Step 4: Simplify right side
    6,494.44x = 200,473,741.27
  5. Step 5: Solve for x
    x = 200,473,741.27/6,494.44
  6. Step 6: Final answer
    x = 30,868.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.