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Finding the Third Proportional to 18,911 and 23,123

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Solution

The third proportional to 18,911 and 23,123 is: 28,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911 : 23,123 = 23,123 : x
  2. Step 2: Convert to fraction form
    18,911/23,123 = 23,123/x
  3. Step 3: Cross multiply
    18,911x = 23,123 × 23,123
  4. Step 4: Simplify right side
    18,911x = 534,673,129
  5. Step 5: Solve for x
    x = 534,673,129/18,911
  6. Step 6: Final answer
    x = 28,273.13

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.