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Finding the Third Proportional to 5,242 and 10,910

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Solution

The third proportional to 5,242 and 10,910 is: 22,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 10,910 = 10,910 : x
  2. Step 2: Convert to fraction form
    5,242/10,910 = 10,910/x
  3. Step 3: Cross multiply
    5,242x = 10,910 × 10,910
  4. Step 4: Simplify right side
    5,242x = 119,028,100
  5. Step 5: Solve for x
    x = 119,028,100/5,242
  6. Step 6: Final answer
    x = 22,706.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.