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Finding the Third Proportional to 30,284 and 43,350

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Solution

The third proportional to 30,284 and 43,350 is: 62,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284 : 43,350 = 43,350 : x
  2. Step 2: Convert to fraction form
    30,284/43,350 = 43,350/x
  3. Step 3: Cross multiply
    30,284x = 43,350 × 43,350
  4. Step 4: Simplify right side
    30,284x = 1,879,222,500
  5. Step 5: Solve for x
    x = 1,879,222,500/30,284
  6. Step 6: Final answer
    x = 62,053.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.