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Finding the Third Proportional to 30,467 and 63,370

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Solution

The third proportional to 30,467 and 63,370 is: 131,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467 : 63,370 = 63,370 : x
  2. Step 2: Convert to fraction form
    30,467/63,370 = 63,370/x
  3. Step 3: Cross multiply
    30,467x = 63,370 × 63,370
  4. Step 4: Simplify right side
    30,467x = 4,015,756,900
  5. Step 5: Solve for x
    x = 4,015,756,900/30,467
  6. Step 6: Final answer
    x = 131,806.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.