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Finding the Third Proportional to 35,832 and 55,236

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Solution

The third proportional to 35,832 and 55,236 is: 85,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832 : 55,236 = 55,236 : x
  2. Step 2: Convert to fraction form
    35,832/55,236 = 55,236/x
  3. Step 3: Cross multiply
    35,832x = 55,236 × 55,236
  4. Step 4: Simplify right side
    35,832x = 3,051,015,696
  5. Step 5: Solve for x
    x = 3,051,015,696/35,832
  6. Step 6: Final answer
    x = 85,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.