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Finding the Third Proportional to 21,878.50 and 33,018.25

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Solution

The third proportional to 21,878.50 and 33,018.25 is: 49,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.50 : 33,018.25 = 33,018.25 : x
  2. Step 2: Convert to fraction form
    21,878.50/33,018.25 = 33,018.25/x
  3. Step 3: Cross multiply
    21,878.50x = 33,018.25 × 33,018.25
  4. Step 4: Simplify right side
    21,878.50x = 1,090,204,833.06
  5. Step 5: Solve for x
    x = 1,090,204,833.06/21,878.50
  6. Step 6: Final answer
    x = 49,829.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.