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Finding the Third Proportional to 9,296.63 and 14,162.81

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Solution

The third proportional to 9,296.63 and 14,162.81 is: 21,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.63 : 14,162.81 = 14,162.81 : x
  2. Step 2: Convert to fraction form
    9,296.63/14,162.81 = 14,162.81/x
  3. Step 3: Cross multiply
    9,296.63x = 14,162.81 × 14,162.81
  4. Step 4: Simplify right side
    9,296.63x = 200,585,257.91
  5. Step 5: Solve for x
    x = 200,585,257.91/9,296.63
  6. Step 6: Final answer
    x = 21,576.14

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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.