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Finding the Third Proportional to 28,531 and 41,096

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Solution

The third proportional to 28,531 and 41,096 is: 59,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,531 : 41,096 = 41,096 : x
  2. Step 2: Convert to fraction form
    28,531/41,096 = 41,096/x
  3. Step 3: Cross multiply
    28,531x = 41,096 × 41,096
  4. Step 4: Simplify right side
    28,531x = 1,688,881,216
  5. Step 5: Solve for x
    x = 1,688,881,216/28,531
  6. Step 6: Final answer
    x = 59,194.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.