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Finding the Third Proportional to 20,496.75 and 44,476.50

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Solution

The third proportional to 20,496.75 and 44,476.50 is: 96,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.75 : 44,476.50 = 44,476.50 : x
  2. Step 2: Convert to fraction form
    20,496.75/44,476.50 = 44,476.50/x
  3. Step 3: Cross multiply
    20,496.75x = 44,476.50 × 44,476.50
  4. Step 4: Simplify right side
    20,496.75x = 1,978,159,052.25
  5. Step 5: Solve for x
    x = 1,978,159,052.25/20,496.75
  6. Step 6: Final answer
    x = 96,510.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.