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Finding the Third Proportional to 33,854 and 74,024

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Solution

The third proportional to 33,854 and 74,024 is: 161,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854 : 74,024 = 74,024 : x
  2. Step 2: Convert to fraction form
    33,854/74,024 = 74,024/x
  3. Step 3: Cross multiply
    33,854x = 74,024 × 74,024
  4. Step 4: Simplify right side
    33,854x = 5,479,552,576
  5. Step 5: Solve for x
    x = 5,479,552,576/33,854
  6. Step 6: Final answer
    x = 161,858.35

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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.