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Finding the Third Proportional to 9,411 and 13,771

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Solution

The third proportional to 9,411 and 13,771 is: 20,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411 : 13,771 = 13,771 : x
  2. Step 2: Convert to fraction form
    9,411/13,771 = 13,771/x
  3. Step 3: Cross multiply
    9,411x = 13,771 × 13,771
  4. Step 4: Simplify right side
    9,411x = 189,640,441
  5. Step 5: Solve for x
    x = 189,640,441/9,411
  6. Step 6: Final answer
    x = 20,150.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.