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Finding the Third Proportional to 6,304.44 and 9,483.84

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Solution

The third proportional to 6,304.44 and 9,483.84 is: 14,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.44 : 9,483.84 = 9,483.84 : x
  2. Step 2: Convert to fraction form
    6,304.44/9,483.84 = 9,483.84/x
  3. Step 3: Cross multiply
    6,304.44x = 9,483.84 × 9,483.84
  4. Step 4: Simplify right side
    6,304.44x = 89,943,292.27
  5. Step 5: Solve for x
    x = 89,943,292.27/6,304.44
  6. Step 6: Final answer
    x = 14,266.66

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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.