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Finding the Third Proportional to 19,180 and 40,676

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Solution

The third proportional to 19,180 and 40,676 is: 86,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180 : 40,676 = 40,676 : x
  2. Step 2: Convert to fraction form
    19,180/40,676 = 40,676/x
  3. Step 3: Cross multiply
    19,180x = 40,676 × 40,676
  4. Step 4: Simplify right side
    19,180x = 1,654,536,976
  5. Step 5: Solve for x
    x = 1,654,536,976/19,180
  6. Step 6: Final answer
    x = 86,263.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.