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Finding the Third Proportional to 11,070 and 23,949

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Solution

The third proportional to 11,070 and 23,949 is: 51,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 23,949 = 23,949 : x
  2. Step 2: Convert to fraction form
    11,070/23,949 = 23,949/x
  3. Step 3: Cross multiply
    11,070x = 23,949 × 23,949
  4. Step 4: Simplify right side
    11,070x = 573,554,601
  5. Step 5: Solve for x
    x = 573,554,601/11,070
  6. Step 6: Final answer
    x = 51,811.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.