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Finding the Third Proportional to 10,210 and 21,059

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Solution

The third proportional to 10,210 and 21,059 is: 43,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210 : 21,059 = 21,059 : x
  2. Step 2: Convert to fraction form
    10,210/21,059 = 21,059/x
  3. Step 3: Cross multiply
    10,210x = 21,059 × 21,059
  4. Step 4: Simplify right side
    10,210x = 443,481,481
  5. Step 5: Solve for x
    x = 443,481,481/10,210
  6. Step 6: Final answer
    x = 43,435.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.