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Finding the Third Proportional to 9,296.65 and 14,162.98

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Solution

The third proportional to 9,296.65 and 14,162.98 is: 21,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.65 : 14,162.98 = 14,162.98 : x
  2. Step 2: Convert to fraction form
    9,296.65/14,162.98 = 14,162.98/x
  3. Step 3: Cross multiply
    9,296.65x = 14,162.98 × 14,162.98
  4. Step 4: Simplify right side
    9,296.65x = 200,589,905.11
  5. Step 5: Solve for x
    x = 200,589,905.11/9,296.65
  6. Step 6: Final answer
    x = 21,576.58

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Why These Related Problems?

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