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Finding the Third Proportional to 21,902.06 and 47,136.09

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Solution

The third proportional to 21,902.06 and 47,136.09 is: 101,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.06 : 47,136.09 = 47,136.09 : x
  2. Step 2: Convert to fraction form
    21,902.06/47,136.09 = 47,136.09/x
  3. Step 3: Cross multiply
    21,902.06x = 47,136.09 × 47,136.09
  4. Step 4: Simplify right side
    21,902.06x = 2,221,811,334.01
  5. Step 5: Solve for x
    x = 2,221,811,334.01/21,902.06
  6. Step 6: Final answer
    x = 101,443.02

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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.