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Finding the Third Proportional to 18,725 and 40,447

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Solution

The third proportional to 18,725 and 40,447 is: 87,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,725 : 40,447 = 40,447 : x
  2. Step 2: Convert to fraction form
    18,725/40,447 = 40,447/x
  3. Step 3: Cross multiply
    18,725x = 40,447 × 40,447
  4. Step 4: Simplify right side
    18,725x = 1,635,959,809
  5. Step 5: Solve for x
    x = 1,635,959,809/18,725
  6. Step 6: Final answer
    x = 87,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.