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Finding the Third Proportional to 16,164 and 32,968

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Solution

The third proportional to 16,164 and 32,968 is: 67,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164 : 32,968 = 32,968 : x
  2. Step 2: Convert to fraction form
    16,164/32,968 = 32,968/x
  3. Step 3: Cross multiply
    16,164x = 32,968 × 32,968
  4. Step 4: Simplify right side
    16,164x = 1,086,889,024
  5. Step 5: Solve for x
    x = 1,086,889,024/16,164
  6. Step 6: Final answer
    x = 67,241.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.