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Finding the Third Proportional to 21,976.31 and 42,855.33

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Solution

The third proportional to 21,976.31 and 42,855.33 is: 83,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.31 : 42,855.33 = 42,855.33 : x
  2. Step 2: Convert to fraction form
    21,976.31/42,855.33 = 42,855.33/x
  3. Step 3: Cross multiply
    21,976.31x = 42,855.33 × 42,855.33
  4. Step 4: Simplify right side
    21,976.31x = 1,836,579,148.70
  5. Step 5: Solve for x
    x = 1,836,579,148.70/21,976.31
  6. Step 6: Final answer
    x = 83,570.85

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.