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Finding the Third Proportional to 8,430 and 20,427

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Solution

The third proportional to 8,430 and 20,427 is: 49,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 20,427 = 20,427 : x
  2. Step 2: Convert to fraction form
    8,430/20,427 = 20,427/x
  3. Step 3: Cross multiply
    8,430x = 20,427 × 20,427
  4. Step 4: Simplify right side
    8,430x = 417,262,329
  5. Step 5: Solve for x
    x = 417,262,329/8,430
  6. Step 6: Final answer
    x = 49,497.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.