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Finding the Third Proportional to 30,161 and 40,282

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Solution

The third proportional to 30,161 and 40,282 is: 53,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,161 : 40,282 = 40,282 : x
  2. Step 2: Convert to fraction form
    30,161/40,282 = 40,282/x
  3. Step 3: Cross multiply
    30,161x = 40,282 × 40,282
  4. Step 4: Simplify right side
    30,161x = 1,622,639,524
  5. Step 5: Solve for x
    x = 1,622,639,524/30,161
  6. Step 6: Final answer
    x = 53,799.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.