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Finding the Third Proportional to 30,682 and 48,496

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Solution

The third proportional to 30,682 and 48,496 is: 76,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682 : 48,496 = 48,496 : x
  2. Step 2: Convert to fraction form
    30,682/48,496 = 48,496/x
  3. Step 3: Cross multiply
    30,682x = 48,496 × 48,496
  4. Step 4: Simplify right side
    30,682x = 2,351,862,016
  5. Step 5: Solve for x
    x = 2,351,862,016/30,682
  6. Step 6: Final answer
    x = 76,652.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.