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Finding the Third Proportional to 30,744 and 47,322

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Solution

The third proportional to 30,744 and 47,322 is: 72,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744 : 47,322 = 47,322 : x
  2. Step 2: Convert to fraction form
    30,744/47,322 = 47,322/x
  3. Step 3: Cross multiply
    30,744x = 47,322 × 47,322
  4. Step 4: Simplify right side
    30,744x = 2,239,371,684
  5. Step 5: Solve for x
    x = 2,239,371,684/30,744
  6. Step 6: Final answer
    x = 72,839.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.