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Finding the Third Proportional to 18,058 and 41,507

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Solution

The third proportional to 18,058 and 41,507 is: 95,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058 : 41,507 = 41,507 : x
  2. Step 2: Convert to fraction form
    18,058/41,507 = 41,507/x
  3. Step 3: Cross multiply
    18,058x = 41,507 × 41,507
  4. Step 4: Simplify right side
    18,058x = 1,722,831,049
  5. Step 5: Solve for x
    x = 1,722,831,049/18,058
  6. Step 6: Final answer
    x = 95,405.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.