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Finding the Third Proportional to 33,128 and 46,344

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Solution

The third proportional to 33,128 and 46,344 is: 64,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,128 : 46,344 = 46,344 : x
  2. Step 2: Convert to fraction form
    33,128/46,344 = 46,344/x
  3. Step 3: Cross multiply
    33,128x = 46,344 × 46,344
  4. Step 4: Simplify right side
    33,128x = 2,147,766,336
  5. Step 5: Solve for x
    x = 2,147,766,336/33,128
  6. Step 6: Final answer
    x = 64,832.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.