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Finding the Third Proportional to 23,471.02 and 52,189.63

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Solution

The third proportional to 23,471.02 and 52,189.63 is: 116,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.02 : 52,189.63 = 52,189.63 : x
  2. Step 2: Convert to fraction form
    23,471.02/52,189.63 = 52,189.63/x
  3. Step 3: Cross multiply
    23,471.02x = 52,189.63 × 52,189.63
  4. Step 4: Simplify right side
    23,471.02x = 2,723,757,365.37
  5. Step 5: Solve for x
    x = 2,723,757,365.37/23,471.02
  6. Step 6: Final answer
    x = 116,047.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.