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Finding the Third Proportional to 8,821 and 19,077

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Solution

The third proportional to 8,821 and 19,077 is: 41,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821 : 19,077 = 19,077 : x
  2. Step 2: Convert to fraction form
    8,821/19,077 = 19,077/x
  3. Step 3: Cross multiply
    8,821x = 19,077 × 19,077
  4. Step 4: Simplify right side
    8,821x = 363,931,929
  5. Step 5: Solve for x
    x = 363,931,929/8,821
  6. Step 6: Final answer
    x = 41,257.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.