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Finding the Third Proportional to 19,474 and 28,583

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Solution

The third proportional to 19,474 and 28,583 is: 41,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474 : 28,583 = 28,583 : x
  2. Step 2: Convert to fraction form
    19,474/28,583 = 28,583/x
  3. Step 3: Cross multiply
    19,474x = 28,583 × 28,583
  4. Step 4: Simplify right side
    19,474x = 816,987,889
  5. Step 5: Solve for x
    x = 816,987,889/19,474
  6. Step 6: Final answer
    x = 41,952.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.