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Finding the Third Proportional to 30,829 and 46,249

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Solution

The third proportional to 30,829 and 46,249 is: 69,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829 : 46,249 = 46,249 : x
  2. Step 2: Convert to fraction form
    30,829/46,249 = 46,249/x
  3. Step 3: Cross multiply
    30,829x = 46,249 × 46,249
  4. Step 4: Simplify right side
    30,829x = 2,138,970,001
  5. Step 5: Solve for x
    x = 2,138,970,001/30,829
  6. Step 6: Final answer
    x = 69,381.75

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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.