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Finding the Third Proportional to 16,704 and 25,670

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Solution

The third proportional to 16,704 and 25,670 is: 39,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 25,670 = 25,670 : x
  2. Step 2: Convert to fraction form
    16,704/25,670 = 25,670/x
  3. Step 3: Cross multiply
    16,704x = 25,670 × 25,670
  4. Step 4: Simplify right side
    16,704x = 658,948,900
  5. Step 5: Solve for x
    x = 658,948,900/16,704
  6. Step 6: Final answer
    x = 39,448.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.