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Finding the Third Proportional to 16,740.42 and 25,942.15

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Solution

The third proportional to 16,740.42 and 25,942.15 is: 40,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740.42 : 25,942.15 = 25,942.15 : x
  2. Step 2: Convert to fraction form
    16,740.42/25,942.15 = 25,942.15/x
  3. Step 3: Cross multiply
    16,740.42x = 25,942.15 × 25,942.15
  4. Step 4: Simplify right side
    16,740.42x = 672,995,065.55
  5. Step 5: Solve for x
    x = 672,995,065.55/16,740.42
  6. Step 6: Final answer
    x = 40,201.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.