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Finding the Third Proportional to 30,734 and 62,595

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Solution

The third proportional to 30,734 and 62,595 is: 127,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734 : 62,595 = 62,595 : x
  2. Step 2: Convert to fraction form
    30,734/62,595 = 62,595/x
  3. Step 3: Cross multiply
    30,734x = 62,595 × 62,595
  4. Step 4: Simplify right side
    30,734x = 3,918,134,025
  5. Step 5: Solve for x
    x = 3,918,134,025/30,734
  6. Step 6: Final answer
    x = 127,485.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.