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Finding the Third Proportional to 11,580 and 23,568

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Solution

The third proportional to 11,580 and 23,568 is: 47,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 23,568 = 23,568 : x
  2. Step 2: Convert to fraction form
    11,580/23,568 = 23,568/x
  3. Step 3: Cross multiply
    11,580x = 23,568 × 23,568
  4. Step 4: Simplify right side
    11,580x = 555,450,624
  5. Step 5: Solve for x
    x = 555,450,624/11,580
  6. Step 6: Final answer
    x = 47,966.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.