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Finding the Third Proportional to 9,846.19 and 14,614.69

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Solution

The third proportional to 9,846.19 and 14,614.69 is: 21,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.19 : 14,614.69 = 14,614.69 : x
  2. Step 2: Convert to fraction form
    9,846.19/14,614.69 = 14,614.69/x
  3. Step 3: Cross multiply
    9,846.19x = 14,614.69 × 14,614.69
  4. Step 4: Simplify right side
    9,846.19x = 213,589,090.72
  5. Step 5: Solve for x
    x = 213,589,090.72/9,846.19
  6. Step 6: Final answer
    x = 21,692.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.