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Finding the Third Proportional to 16,830 and 25,911

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Solution

The third proportional to 16,830 and 25,911 is: 39,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 25,911 = 25,911 : x
  2. Step 2: Convert to fraction form
    16,830/25,911 = 25,911/x
  3. Step 3: Cross multiply
    16,830x = 25,911 × 25,911
  4. Step 4: Simplify right side
    16,830x = 671,379,921
  5. Step 5: Solve for x
    x = 671,379,921/16,830
  6. Step 6: Final answer
    x = 39,891.86

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