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Finding the Third Proportional to 9,524 and 17,848

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Solution

The third proportional to 9,524 and 17,848 is: 33,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 17,848 = 17,848 : x
  2. Step 2: Convert to fraction form
    9,524/17,848 = 17,848/x
  3. Step 3: Cross multiply
    9,524x = 17,848 × 17,848
  4. Step 4: Simplify right side
    9,524x = 318,551,104
  5. Step 5: Solve for x
    x = 318,551,104/9,524
  6. Step 6: Final answer
    x = 33,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.