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Finding the Third Proportional to 9,775.69 and 20,628.42

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Solution

The third proportional to 9,775.69 and 20,628.42 is: 43,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.69 : 20,628.42 = 20,628.42 : x
  2. Step 2: Convert to fraction form
    9,775.69/20,628.42 = 20,628.42/x
  3. Step 3: Cross multiply
    9,775.69x = 20,628.42 × 20,628.42
  4. Step 4: Simplify right side
    9,775.69x = 425,531,789.05
  5. Step 5: Solve for x
    x = 425,531,789.05/9,775.69
  6. Step 6: Final answer
    x = 43,529.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.