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Finding the Third Proportional to 7,856 and 11,361

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Solution

The third proportional to 7,856 and 11,361 is: 16,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 11,361 = 11,361 : x
  2. Step 2: Convert to fraction form
    7,856/11,361 = 11,361/x
  3. Step 3: Cross multiply
    7,856x = 11,361 × 11,361
  4. Step 4: Simplify right side
    7,856x = 129,072,321
  5. Step 5: Solve for x
    x = 129,072,321/7,856
  6. Step 6: Final answer
    x = 16,429.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.