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Finding the Third Proportional to 3,770 and 8,293

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Solution

The third proportional to 3,770 and 8,293 is: 18,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770 : 8,293 = 8,293 : x
  2. Step 2: Convert to fraction form
    3,770/8,293 = 8,293/x
  3. Step 3: Cross multiply
    3,770x = 8,293 × 8,293
  4. Step 4: Simplify right side
    3,770x = 68,773,849
  5. Step 5: Solve for x
    x = 68,773,849/3,770
  6. Step 6: Final answer
    x = 18,242.40

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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.