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Finding the Third Proportional to 30,512 and 47,552

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Solution

The third proportional to 30,512 and 47,552 is: 74,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 47,552 = 47,552 : x
  2. Step 2: Convert to fraction form
    30,512/47,552 = 47,552/x
  3. Step 3: Cross multiply
    30,512x = 47,552 × 47,552
  4. Step 4: Simplify right side
    30,512x = 2,261,192,704
  5. Step 5: Solve for x
    x = 2,261,192,704/30,512
  6. Step 6: Final answer
    x = 74,108.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.