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Finding the Third Proportional to 9,242 and 20,210

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Solution

The third proportional to 9,242 and 20,210 is: 44,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 20,210 = 20,210 : x
  2. Step 2: Convert to fraction form
    9,242/20,210 = 20,210/x
  3. Step 3: Cross multiply
    9,242x = 20,210 × 20,210
  4. Step 4: Simplify right side
    9,242x = 408,444,100
  5. Step 5: Solve for x
    x = 408,444,100/9,242
  6. Step 6: Final answer
    x = 44,194.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.