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Finding the Third Proportional to 33,738 and 53,623

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Solution

The third proportional to 33,738 and 53,623 is: 85,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,738 : 53,623 = 53,623 : x
  2. Step 2: Convert to fraction form
    33,738/53,623 = 53,623/x
  3. Step 3: Cross multiply
    33,738x = 53,623 × 53,623
  4. Step 4: Simplify right side
    33,738x = 2,875,426,129
  5. Step 5: Solve for x
    x = 2,875,426,129/33,738
  6. Step 6: Final answer
    x = 85,228.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.