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Finding the Third Proportional to 10,704.94 and 22,563.84

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Solution

The third proportional to 10,704.94 and 22,563.84 is: 47,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.94 : 22,563.84 = 22,563.84 : x
  2. Step 2: Convert to fraction form
    10,704.94/22,563.84 = 22,563.84/x
  3. Step 3: Cross multiply
    10,704.94x = 22,563.84 × 22,563.84
  4. Step 4: Simplify right side
    10,704.94x = 509,127,044.77
  5. Step 5: Solve for x
    x = 509,127,044.77/10,704.94
  6. Step 6: Final answer
    x = 47,560.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.