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Finding the Third Proportional to 43,886 and 70,669

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Solution

The third proportional to 43,886 and 70,669 is: 113,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,886 : 70,669 = 70,669 : x
  2. Step 2: Convert to fraction form
    43,886/70,669 = 70,669/x
  3. Step 3: Cross multiply
    43,886x = 70,669 × 70,669
  4. Step 4: Simplify right side
    43,886x = 4,994,107,561
  5. Step 5: Solve for x
    x = 4,994,107,561/43,886
  6. Step 6: Final answer
    x = 113,797.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.