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Finding the Third Proportional to 17,943 and 38,253

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Solution

The third proportional to 17,943 and 38,253 is: 81,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943 : 38,253 = 38,253 : x
  2. Step 2: Convert to fraction form
    17,943/38,253 = 38,253/x
  3. Step 3: Cross multiply
    17,943x = 38,253 × 38,253
  4. Step 4: Simplify right side
    17,943x = 1,463,292,009
  5. Step 5: Solve for x
    x = 1,463,292,009/17,943
  6. Step 6: Final answer
    x = 81,552.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.