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Finding the Third Proportional to 36,968 and 81,024

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Solution

The third proportional to 36,968 and 81,024 is: 177,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 81,024 = 81,024 : x
  2. Step 2: Convert to fraction form
    36,968/81,024 = 81,024/x
  3. Step 3: Cross multiply
    36,968x = 81,024 × 81,024
  4. Step 4: Simplify right side
    36,968x = 6,564,888,576
  5. Step 5: Solve for x
    x = 6,564,888,576/36,968
  6. Step 6: Final answer
    x = 177,583.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.