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Finding the Third Proportional to 9,778 and 20,524

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Solution

The third proportional to 9,778 and 20,524 is: 43,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778 : 20,524 = 20,524 : x
  2. Step 2: Convert to fraction form
    9,778/20,524 = 20,524/x
  3. Step 3: Cross multiply
    9,778x = 20,524 × 20,524
  4. Step 4: Simplify right side
    9,778x = 421,234,576
  5. Step 5: Solve for x
    x = 421,234,576/9,778
  6. Step 6: Final answer
    x = 43,079.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.