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Finding the Third Proportional to 16,740 and 25,935

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Solution

The third proportional to 16,740 and 25,935 is: 40,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 25,935 = 25,935 : x
  2. Step 2: Convert to fraction form
    16,740/25,935 = 25,935/x
  3. Step 3: Cross multiply
    16,740x = 25,935 × 25,935
  4. Step 4: Simplify right side
    16,740x = 672,624,225
  5. Step 5: Solve for x
    x = 672,624,225/16,740
  6. Step 6: Final answer
    x = 40,180.66

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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.