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Finding the Third Proportional to 9,651.66 and 19,576.69

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Solution

The third proportional to 9,651.66 and 19,576.69 is: 39,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.66 : 19,576.69 = 19,576.69 : x
  2. Step 2: Convert to fraction form
    9,651.66/19,576.69 = 19,576.69/x
  3. Step 3: Cross multiply
    9,651.66x = 19,576.69 × 19,576.69
  4. Step 4: Simplify right side
    9,651.66x = 383,246,693.47
  5. Step 5: Solve for x
    x = 383,246,693.47/9,651.66
  6. Step 6: Final answer
    x = 39,707.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.