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Finding the Third Proportional to 23,284 and 41,096

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Solution

The third proportional to 23,284 and 41,096 is: 72,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 41,096 = 41,096 : x
  2. Step 2: Convert to fraction form
    23,284/41,096 = 41,096/x
  3. Step 3: Cross multiply
    23,284x = 41,096 × 41,096
  4. Step 4: Simplify right side
    23,284x = 1,688,881,216
  5. Step 5: Solve for x
    x = 1,688,881,216/23,284
  6. Step 6: Final answer
    x = 72,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.