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Finding the Third Proportional to 23,400 and 40,968

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Solution

The third proportional to 23,400 and 40,968 is: 71,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 40,968 = 40,968 : x
  2. Step 2: Convert to fraction form
    23,400/40,968 = 40,968/x
  3. Step 3: Cross multiply
    23,400x = 40,968 × 40,968
  4. Step 4: Simplify right side
    23,400x = 1,678,377,024
  5. Step 5: Solve for x
    x = 1,678,377,024/23,400
  6. Step 6: Final answer
    x = 71,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.