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Finding the Third Proportional to 3,864 and 8,430

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Solution

The third proportional to 3,864 and 8,430 is: 18,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 8,430 = 8,430 : x
  2. Step 2: Convert to fraction form
    3,864/8,430 = 8,430/x
  3. Step 3: Cross multiply
    3,864x = 8,430 × 8,430
  4. Step 4: Simplify right side
    3,864x = 71,064,900
  5. Step 5: Solve for x
    x = 71,064,900/3,864
  6. Step 6: Final answer
    x = 18,391.54

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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.