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Finding the Third Proportional to 21,789.75 and 30,683.25

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Solution

The third proportional to 21,789.75 and 30,683.25 is: 43,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.75 : 30,683.25 = 30,683.25 : x
  2. Step 2: Convert to fraction form
    21,789.75/30,683.25 = 30,683.25/x
  3. Step 3: Cross multiply
    21,789.75x = 30,683.25 × 30,683.25
  4. Step 4: Simplify right side
    21,789.75x = 941,461,830.56
  5. Step 5: Solve for x
    x = 941,461,830.56/21,789.75
  6. Step 6: Final answer
    x = 43,206.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.