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Finding the Third Proportional to 17,433 and 38,385

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Solution

The third proportional to 17,433 and 38,385 is: 84,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433 : 38,385 = 38,385 : x
  2. Step 2: Convert to fraction form
    17,433/38,385 = 38,385/x
  3. Step 3: Cross multiply
    17,433x = 38,385 × 38,385
  4. Step 4: Simplify right side
    17,433x = 1,473,408,225
  5. Step 5: Solve for x
    x = 1,473,408,225/17,433
  6. Step 6: Final answer
    x = 84,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.