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Finding the Third Proportional to 30,899 and 46,242

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Solution

The third proportional to 30,899 and 46,242 is: 69,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899 : 46,242 = 46,242 : x
  2. Step 2: Convert to fraction form
    30,899/46,242 = 46,242/x
  3. Step 3: Cross multiply
    30,899x = 46,242 × 46,242
  4. Step 4: Simplify right side
    30,899x = 2,138,322,564
  5. Step 5: Solve for x
    x = 2,138,322,564/30,899
  6. Step 6: Final answer
    x = 69,203.62

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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.