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Finding the Third Proportional to 9,846 and 14,994

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Solution

The third proportional to 9,846 and 14,994 is: 22,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 14,994 = 14,994 : x
  2. Step 2: Convert to fraction form
    9,846/14,994 = 14,994/x
  3. Step 3: Cross multiply
    9,846x = 14,994 × 14,994
  4. Step 4: Simplify right side
    9,846x = 224,820,036
  5. Step 5: Solve for x
    x = 224,820,036/9,846
  6. Step 6: Final answer
    x = 22,833.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.