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Finding the Third Proportional to 21,991.08 and 47,096.02

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Solution

The third proportional to 21,991.08 and 47,096.02 is: 100,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.08 : 47,096.02 = 47,096.02 : x
  2. Step 2: Convert to fraction form
    21,991.08/47,096.02 = 47,096.02/x
  3. Step 3: Cross multiply
    21,991.08x = 47,096.02 × 47,096.02
  4. Step 4: Simplify right side
    21,991.08x = 2,218,034,687.75
  5. Step 5: Solve for x
    x = 2,218,034,687.75/21,991.08
  6. Step 6: Final answer
    x = 100,860.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.