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Finding the Third Proportional to 33,740 and 48,598

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Solution

The third proportional to 33,740 and 48,598 is: 69,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740 : 48,598 = 48,598 : x
  2. Step 2: Convert to fraction form
    33,740/48,598 = 48,598/x
  3. Step 3: Cross multiply
    33,740x = 48,598 × 48,598
  4. Step 4: Simplify right side
    33,740x = 2,361,765,604
  5. Step 5: Solve for x
    x = 2,361,765,604/33,740
  6. Step 6: Final answer
    x = 69,998.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.