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Finding the Third Proportional to 18,348 and 43,278

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Solution

The third proportional to 18,348 and 43,278 is: 102,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,348 : 43,278 = 43,278 : x
  2. Step 2: Convert to fraction form
    18,348/43,278 = 43,278/x
  3. Step 3: Cross multiply
    18,348x = 43,278 × 43,278
  4. Step 4: Simplify right side
    18,348x = 1,872,985,284
  5. Step 5: Solve for x
    x = 1,872,985,284/18,348
  6. Step 6: Final answer
    x = 102,081.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.