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Finding the Third Proportional to 15,362 and 33,174

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Solution

The third proportional to 15,362 and 33,174 is: 71,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362 : 33,174 = 33,174 : x
  2. Step 2: Convert to fraction form
    15,362/33,174 = 33,174/x
  3. Step 3: Cross multiply
    15,362x = 33,174 × 33,174
  4. Step 4: Simplify right side
    15,362x = 1,100,514,276
  5. Step 5: Solve for x
    x = 1,100,514,276/15,362
  6. Step 6: Final answer
    x = 71,638.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.