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Finding the Third Proportional to 33,232 and 46,544

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Solution

The third proportional to 33,232 and 46,544 is: 65,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232 : 46,544 = 46,544 : x
  2. Step 2: Convert to fraction form
    33,232/46,544 = 46,544/x
  3. Step 3: Cross multiply
    33,232x = 46,544 × 46,544
  4. Step 4: Simplify right side
    33,232x = 2,166,343,936
  5. Step 5: Solve for x
    x = 2,166,343,936/33,232
  6. Step 6: Final answer
    x = 65,188.49

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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.