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Finding the Third Proportional to 33,437 and 74,255

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Solution

The third proportional to 33,437 and 74,255 is: 164,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437 : 74,255 = 74,255 : x
  2. Step 2: Convert to fraction form
    33,437/74,255 = 74,255/x
  3. Step 3: Cross multiply
    33,437x = 74,255 × 74,255
  4. Step 4: Simplify right side
    33,437x = 5,513,805,025
  5. Step 5: Solve for x
    x = 5,513,805,025/33,437
  6. Step 6: Final answer
    x = 164,901.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.