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Finding the Third Proportional to 9,856 and 11,360

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Solution

The third proportional to 9,856 and 11,360 is: 13,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 11,360 = 11,360 : x
  2. Step 2: Convert to fraction form
    9,856/11,360 = 11,360/x
  3. Step 3: Cross multiply
    9,856x = 11,360 × 11,360
  4. Step 4: Simplify right side
    9,856x = 129,049,600
  5. Step 5: Solve for x
    x = 129,049,600/9,856
  6. Step 6: Final answer
    x = 13,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.