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Finding the Third Proportional to 34,962 and 52,433

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Solution

The third proportional to 34,962 and 52,433 is: 78,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962 : 52,433 = 52,433 : x
  2. Step 2: Convert to fraction form
    34,962/52,433 = 52,433/x
  3. Step 3: Cross multiply
    34,962x = 52,433 × 52,433
  4. Step 4: Simplify right side
    34,962x = 2,749,219,489
  5. Step 5: Solve for x
    x = 2,749,219,489/34,962
  6. Step 6: Final answer
    x = 78,634.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.