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Finding the Third Proportional to 21,903.75 and 48,181.50

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Solution

The third proportional to 21,903.75 and 48,181.50 is: 105,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903.75 : 48,181.50 = 48,181.50 : x
  2. Step 2: Convert to fraction form
    21,903.75/48,181.50 = 48,181.50/x
  3. Step 3: Cross multiply
    21,903.75x = 48,181.50 × 48,181.50
  4. Step 4: Simplify right side
    21,903.75x = 2,321,456,942.25
  5. Step 5: Solve for x
    x = 2,321,456,942.25/21,903.75
  6. Step 6: Final answer
    x = 105,984.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.