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Finding the Third Proportional to 19,636 and 45,994

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Solution

The third proportional to 19,636 and 45,994 is: 107,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636 : 45,994 = 45,994 : x
  2. Step 2: Convert to fraction form
    19,636/45,994 = 45,994/x
  3. Step 3: Cross multiply
    19,636x = 45,994 × 45,994
  4. Step 4: Simplify right side
    19,636x = 2,115,448,036
  5. Step 5: Solve for x
    x = 2,115,448,036/19,636
  6. Step 6: Final answer
    x = 107,733.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.