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Finding the Third Proportional to 33,726 and 74,013

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Solution

The third proportional to 33,726 and 74,013 is: 162,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,726 : 74,013 = 74,013 : x
  2. Step 2: Convert to fraction form
    33,726/74,013 = 74,013/x
  3. Step 3: Cross multiply
    33,726x = 74,013 × 74,013
  4. Step 4: Simplify right side
    33,726x = 5,477,924,169
  5. Step 5: Solve for x
    x = 5,477,924,169/33,726
  6. Step 6: Final answer
    x = 162,424.37

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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.