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Finding the Third Proportional to 10,170 and 15,938

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Solution

The third proportional to 10,170 and 15,938 is: 24,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 15,938 = 15,938 : x
  2. Step 2: Convert to fraction form
    10,170/15,938 = 15,938/x
  3. Step 3: Cross multiply
    10,170x = 15,938 × 15,938
  4. Step 4: Simplify right side
    10,170x = 254,019,844
  5. Step 5: Solve for x
    x = 254,019,844/10,170
  6. Step 6: Final answer
    x = 24,977.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.