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Finding the Third Proportional to 7,882 and 11,305

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Solution

The third proportional to 7,882 and 11,305 is: 16,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 11,305 = 11,305 : x
  2. Step 2: Convert to fraction form
    7,882/11,305 = 11,305/x
  3. Step 3: Cross multiply
    7,882x = 11,305 × 11,305
  4. Step 4: Simplify right side
    7,882x = 127,803,025
  5. Step 5: Solve for x
    x = 127,803,025/7,882
  6. Step 6: Final answer
    x = 16,214.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.