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Finding the Third Proportional to 30,635 and 48,694

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Solution

The third proportional to 30,635 and 48,694 is: 77,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635 : 48,694 = 48,694 : x
  2. Step 2: Convert to fraction form
    30,635/48,694 = 48,694/x
  3. Step 3: Cross multiply
    30,635x = 48,694 × 48,694
  4. Step 4: Simplify right side
    30,635x = 2,371,105,636
  5. Step 5: Solve for x
    x = 2,371,105,636/30,635
  6. Step 6: Final answer
    x = 77,398.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.