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Finding the Third Proportional to 17,741 and 28,583

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Solution

The third proportional to 17,741 and 28,583 is: 46,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741 : 28,583 = 28,583 : x
  2. Step 2: Convert to fraction form
    17,741/28,583 = 28,583/x
  3. Step 3: Cross multiply
    17,741x = 28,583 × 28,583
  4. Step 4: Simplify right side
    17,741x = 816,987,889
  5. Step 5: Solve for x
    x = 816,987,889/17,741
  6. Step 6: Final answer
    x = 46,050.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.