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Finding the Third Proportional to 9,874 and 11,305

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Solution

The third proportional to 9,874 and 11,305 is: 12,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874 : 11,305 = 11,305 : x
  2. Step 2: Convert to fraction form
    9,874/11,305 = 11,305/x
  3. Step 3: Cross multiply
    9,874x = 11,305 × 11,305
  4. Step 4: Simplify right side
    9,874x = 127,803,025
  5. Step 5: Solve for x
    x = 127,803,025/9,874
  6. Step 6: Final answer
    x = 12,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.