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Finding the Third Proportional to 6,451.88 and 9,728.44

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Solution

The third proportional to 6,451.88 and 9,728.44 is: 14,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.88 : 9,728.44 = 9,728.44 : x
  2. Step 2: Convert to fraction form
    6,451.88/9,728.44 = 9,728.44/x
  3. Step 3: Cross multiply
    6,451.88x = 9,728.44 × 9,728.44
  4. Step 4: Simplify right side
    6,451.88x = 94,642,496.19
  5. Step 5: Solve for x
    x = 94,642,496.19/6,451.88
  6. Step 6: Final answer
    x = 14,668.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.