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Finding the Third Proportional to 19,512.56 and 41,984.16

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Solution

The third proportional to 19,512.56 and 41,984.16 is: 90,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.56 : 41,984.16 = 41,984.16 : x
  2. Step 2: Convert to fraction form
    19,512.56/41,984.16 = 41,984.16/x
  3. Step 3: Cross multiply
    19,512.56x = 41,984.16 × 41,984.16
  4. Step 4: Simplify right side
    19,512.56x = 1,762,669,376.02
  5. Step 5: Solve for x
    x = 1,762,669,376.02/19,512.56
  6. Step 6: Final answer
    x = 90,335.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.