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Finding the Third Proportional to 17,903 and 39,385

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Solution

The third proportional to 17,903 and 39,385 is: 86,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,903 : 39,385 = 39,385 : x
  2. Step 2: Convert to fraction form
    17,903/39,385 = 39,385/x
  3. Step 3: Cross multiply
    17,903x = 39,385 × 39,385
  4. Step 4: Simplify right side
    17,903x = 1,551,178,225
  5. Step 5: Solve for x
    x = 1,551,178,225/17,903
  6. Step 6: Final answer
    x = 86,643.48

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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.