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Finding the Third Proportional to 21,096 and 29,680

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Solution

The third proportional to 21,096 and 29,680 is: 41,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096 : 29,680 = 29,680 : x
  2. Step 2: Convert to fraction form
    21,096/29,680 = 29,680/x
  3. Step 3: Cross multiply
    21,096x = 29,680 × 29,680
  4. Step 4: Simplify right side
    21,096x = 880,902,400
  5. Step 5: Solve for x
    x = 880,902,400/21,096
  6. Step 6: Final answer
    x = 41,756.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.