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Finding the Third Proportional to 35,318 and 55,063

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Solution

The third proportional to 35,318 and 55,063 is: 85,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 55,063 = 55,063 : x
  2. Step 2: Convert to fraction form
    35,318/55,063 = 55,063/x
  3. Step 3: Cross multiply
    35,318x = 55,063 × 55,063
  4. Step 4: Simplify right side
    35,318x = 3,031,933,969
  5. Step 5: Solve for x
    x = 3,031,933,969/35,318
  6. Step 6: Final answer
    x = 85,846.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.