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Finding the Third Proportional to 21,858.75 and 40,664.25

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Solution

The third proportional to 21,858.75 and 40,664.25 is: 75,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.75 : 40,664.25 = 40,664.25 : x
  2. Step 2: Convert to fraction form
    21,858.75/40,664.25 = 40,664.25/x
  3. Step 3: Cross multiply
    21,858.75x = 40,664.25 × 40,664.25
  4. Step 4: Simplify right side
    21,858.75x = 1,653,581,228.06
  5. Step 5: Solve for x
    x = 1,653,581,228.06/21,858.75
  6. Step 6: Final answer
    x = 75,648.48

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.