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Finding the Third Proportional to 28,342 and 41,647

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Solution

The third proportional to 28,342 and 41,647 is: 61,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,342 : 41,647 = 41,647 : x
  2. Step 2: Convert to fraction form
    28,342/41,647 = 41,647/x
  3. Step 3: Cross multiply
    28,342x = 41,647 × 41,647
  4. Step 4: Simplify right side
    28,342x = 1,734,472,609
  5. Step 5: Solve for x
    x = 1,734,472,609/28,342
  6. Step 6: Final answer
    x = 61,197.96

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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.