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Finding the Third Proportional to 20,608 and 38,270

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Solution

The third proportional to 20,608 and 38,270 is: 71,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608 : 38,270 = 38,270 : x
  2. Step 2: Convert to fraction form
    20,608/38,270 = 38,270/x
  3. Step 3: Cross multiply
    20,608x = 38,270 × 38,270
  4. Step 4: Simplify right side
    20,608x = 1,464,592,900
  5. Step 5: Solve for x
    x = 1,464,592,900/20,608
  6. Step 6: Final answer
    x = 71,069.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.