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Finding the Third Proportional to 10,226 and 21,910

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Solution

The third proportional to 10,226 and 21,910 is: 46,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226 : 21,910 = 21,910 : x
  2. Step 2: Convert to fraction form
    10,226/21,910 = 21,910/x
  3. Step 3: Cross multiply
    10,226x = 21,910 × 21,910
  4. Step 4: Simplify right side
    10,226x = 480,048,100
  5. Step 5: Solve for x
    x = 480,048,100/10,226
  6. Step 6: Final answer
    x = 46,943.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.