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Finding the Third Proportional to 30,322 and 70,822

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Solution

The third proportional to 30,322 and 70,822 is: 165,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322 : 70,822 = 70,822 : x
  2. Step 2: Convert to fraction form
    30,322/70,822 = 70,822/x
  3. Step 3: Cross multiply
    30,322x = 70,822 × 70,822
  4. Step 4: Simplify right side
    30,322x = 5,015,755,684
  5. Step 5: Solve for x
    x = 5,015,755,684/30,322
  6. Step 6: Final answer
    x = 165,416.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.