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Finding the Third Proportional to 16,201.27 and 23,734.27

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Solution

The third proportional to 16,201.27 and 23,734.27 is: 34,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.27 : 23,734.27 = 23,734.27 : x
  2. Step 2: Convert to fraction form
    16,201.27/23,734.27 = 23,734.27/x
  3. Step 3: Cross multiply
    16,201.27x = 23,734.27 × 23,734.27
  4. Step 4: Simplify right side
    16,201.27x = 563,315,364.76
  5. Step 5: Solve for x
    x = 563,315,364.76/16,201.27
  6. Step 6: Final answer
    x = 34,769.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.