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Finding the Third Proportional to 35,994 and 84,071

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Solution

The third proportional to 35,994 and 84,071 is: 196,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994 : 84,071 = 84,071 : x
  2. Step 2: Convert to fraction form
    35,994/84,071 = 84,071/x
  3. Step 3: Cross multiply
    35,994x = 84,071 × 84,071
  4. Step 4: Simplify right side
    35,994x = 7,067,933,041
  5. Step 5: Solve for x
    x = 7,067,933,041/35,994
  6. Step 6: Final answer
    x = 196,364.20

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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.