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Finding the Third Proportional to 30,802 and 48,968

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Solution

The third proportional to 30,802 and 48,968 is: 77,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802 : 48,968 = 48,968 : x
  2. Step 2: Convert to fraction form
    30,802/48,968 = 48,968/x
  3. Step 3: Cross multiply
    30,802x = 48,968 × 48,968
  4. Step 4: Simplify right side
    30,802x = 2,397,865,024
  5. Step 5: Solve for x
    x = 2,397,865,024/30,802
  6. Step 6: Final answer
    x = 77,847.71

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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.