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Finding the Third Proportional to 30,820 and 48,994

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Solution

The third proportional to 30,820 and 48,994 is: 77,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 48,994 = 48,994 : x
  2. Step 2: Convert to fraction form
    30,820/48,994 = 48,994/x
  3. Step 3: Cross multiply
    30,820x = 48,994 × 48,994
  4. Step 4: Simplify right side
    30,820x = 2,400,412,036
  5. Step 5: Solve for x
    x = 2,400,412,036/30,820
  6. Step 6: Final answer
    x = 77,884.88

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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.