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Finding the Third Proportional to 30,384 and 47,567

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Solution

The third proportional to 30,384 and 47,567 is: 74,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 47,567 = 47,567 : x
  2. Step 2: Convert to fraction form
    30,384/47,567 = 47,567/x
  3. Step 3: Cross multiply
    30,384x = 47,567 × 47,567
  4. Step 4: Simplify right side
    30,384x = 2,262,619,489
  5. Step 5: Solve for x
    x = 2,262,619,489/30,384
  6. Step 6: Final answer
    x = 74,467.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.