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Finding the Third Proportional to 16,684.42 and 29,659.05

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Solution

The third proportional to 16,684.42 and 29,659.05 is: 52,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.42 : 29,659.05 = 29,659.05 : x
  2. Step 2: Convert to fraction form
    16,684.42/29,659.05 = 29,659.05/x
  3. Step 3: Cross multiply
    16,684.42x = 29,659.05 × 29,659.05
  4. Step 4: Simplify right side
    16,684.42x = 879,659,351.17
  5. Step 5: Solve for x
    x = 879,659,351.17/16,684.42
  6. Step 6: Final answer
    x = 52,723.41

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.