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Finding the Third Proportional to 11,764 and 28,090

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Solution

The third proportional to 11,764 and 28,090 is: 67,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764 : 28,090 = 28,090 : x
  2. Step 2: Convert to fraction form
    11,764/28,090 = 28,090/x
  3. Step 3: Cross multiply
    11,764x = 28,090 × 28,090
  4. Step 4: Simplify right side
    11,764x = 789,048,100
  5. Step 5: Solve for x
    x = 789,048,100/11,764
  6. Step 6: Final answer
    x = 67,073.11

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.