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Finding the Third Proportional to 35,251.88 and 75,954.38

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Solution

The third proportional to 35,251.88 and 75,954.38 is: 163,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,251.88 : 75,954.38 = 75,954.38 : x
  2. Step 2: Convert to fraction form
    35,251.88/75,954.38 = 75,954.38/x
  3. Step 3: Cross multiply
    35,251.88x = 75,954.38 × 75,954.38
  4. Step 4: Simplify right side
    35,251.88x = 5,769,067,081.64
  5. Step 5: Solve for x
    x = 5,769,067,081.64/35,251.88
  6. Step 6: Final answer
    x = 163,652.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.