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Finding the Third Proportional to 23,808.94 and 52,288.03

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Solution

The third proportional to 23,808.94 and 52,288.03 is: 114,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.94 : 52,288.03 = 52,288.03 : x
  2. Step 2: Convert to fraction form
    23,808.94/52,288.03 = 52,288.03/x
  3. Step 3: Cross multiply
    23,808.94x = 52,288.03 × 52,288.03
  4. Step 4: Simplify right side
    23,808.94x = 2,734,038,212.00
  5. Step 5: Solve for x
    x = 2,734,038,212.00/23,808.94
  6. Step 6: Final answer
    x = 114,832.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.