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Finding the Third Proportional to 10,586 and 20,210

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Solution

The third proportional to 10,586 and 20,210 is: 38,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 20,210 = 20,210 : x
  2. Step 2: Convert to fraction form
    10,586/20,210 = 20,210/x
  3. Step 3: Cross multiply
    10,586x = 20,210 × 20,210
  4. Step 4: Simplify right side
    10,586x = 408,444,100
  5. Step 5: Solve for x
    x = 408,444,100/10,586
  6. Step 6: Final answer
    x = 38,583.42

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.