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Finding the Third Proportional to 5,934 and 14,370

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Solution

The third proportional to 5,934 and 14,370 is: 34,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 14,370 = 14,370 : x
  2. Step 2: Convert to fraction form
    5,934/14,370 = 14,370/x
  3. Step 3: Cross multiply
    5,934x = 14,370 × 14,370
  4. Step 4: Simplify right side
    5,934x = 206,496,900
  5. Step 5: Solve for x
    x = 206,496,900/5,934
  6. Step 6: Final answer
    x = 34,798.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.