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Finding the Third Proportional to 20,008 and 30,968

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Solution

The third proportional to 20,008 and 30,968 is: 47,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 30,968 = 30,968 : x
  2. Step 2: Convert to fraction form
    20,008/30,968 = 30,968/x
  3. Step 3: Cross multiply
    20,008x = 30,968 × 30,968
  4. Step 4: Simplify right side
    20,008x = 959,017,024
  5. Step 5: Solve for x
    x = 959,017,024/20,008
  6. Step 6: Final answer
    x = 47,931.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.