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Finding the Third Proportional to 21,976.31 and 48,087.42

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Solution

The third proportional to 21,976.31 and 48,087.42 is: 105,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.31 : 48,087.42 = 48,087.42 : x
  2. Step 2: Convert to fraction form
    21,976.31/48,087.42 = 48,087.42/x
  3. Step 3: Cross multiply
    21,976.31x = 48,087.42 × 48,087.42
  4. Step 4: Simplify right side
    21,976.31x = 2,312,400,142.58
  5. Step 5: Solve for x
    x = 2,312,400,142.58/21,976.31
  6. Step 6: Final answer
    x = 105,222.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.