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Finding the Third Proportional to 20,113 and 24,149

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Solution

The third proportional to 20,113 and 24,149 is: 28,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113 : 24,149 = 24,149 : x
  2. Step 2: Convert to fraction form
    20,113/24,149 = 24,149/x
  3. Step 3: Cross multiply
    20,113x = 24,149 × 24,149
  4. Step 4: Simplify right side
    20,113x = 583,174,201
  5. Step 5: Solve for x
    x = 583,174,201/20,113
  6. Step 6: Final answer
    x = 28,994.89

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.