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Finding the Third Proportional to 38,043 and 80,334

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Solution

The third proportional to 38,043 and 80,334 is: 169,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 80,334 = 80,334 : x
  2. Step 2: Convert to fraction form
    38,043/80,334 = 80,334/x
  3. Step 3: Cross multiply
    38,043x = 80,334 × 80,334
  4. Step 4: Simplify right side
    38,043x = 6,453,551,556
  5. Step 5: Solve for x
    x = 6,453,551,556/38,043
  6. Step 6: Final answer
    x = 169,638.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.