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Finding the Third Proportional to 10,954 and 23,910

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Solution

The third proportional to 10,954 and 23,910 is: 52,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 23,910 = 23,910 : x
  2. Step 2: Convert to fraction form
    10,954/23,910 = 23,910/x
  3. Step 3: Cross multiply
    10,954x = 23,910 × 23,910
  4. Step 4: Simplify right side
    10,954x = 571,688,100
  5. Step 5: Solve for x
    x = 571,688,100/10,954
  6. Step 6: Final answer
    x = 52,189.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.