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Finding the Third Proportional to 7,890 and 17,238

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Solution

The third proportional to 7,890 and 17,238 is: 37,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890 : 17,238 = 17,238 : x
  2. Step 2: Convert to fraction form
    7,890/17,238 = 17,238/x
  3. Step 3: Cross multiply
    7,890x = 17,238 × 17,238
  4. Step 4: Simplify right side
    7,890x = 297,148,644
  5. Step 5: Solve for x
    x = 297,148,644/7,890
  6. Step 6: Final answer
    x = 37,661.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.