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Finding the Third Proportional to 16,138 and 23,775

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Solution

The third proportional to 16,138 and 23,775 is: 35,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138 : 23,775 = 23,775 : x
  2. Step 2: Convert to fraction form
    16,138/23,775 = 23,775/x
  3. Step 3: Cross multiply
    16,138x = 23,775 × 23,775
  4. Step 4: Simplify right side
    16,138x = 565,250,625
  5. Step 5: Solve for x
    x = 565,250,625/16,138
  6. Step 6: Final answer
    x = 35,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.