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Finding the Third Proportional to 9,494.72 and 14,243.34

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Solution

The third proportional to 9,494.72 and 14,243.34 is: 21,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.72 : 14,243.34 = 14,243.34 : x
  2. Step 2: Convert to fraction form
    9,494.72/14,243.34 = 14,243.34/x
  3. Step 3: Cross multiply
    9,494.72x = 14,243.34 × 14,243.34
  4. Step 4: Simplify right side
    9,494.72x = 202,872,841.18
  5. Step 5: Solve for x
    x = 202,872,841.18/9,494.72
  6. Step 6: Final answer
    x = 21,366.91

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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.