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Finding the Third Proportional to 4,071 and 9,423

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Solution

The third proportional to 4,071 and 9,423 is: 21,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071 : 9,423 = 9,423 : x
  2. Step 2: Convert to fraction form
    4,071/9,423 = 9,423/x
  3. Step 3: Cross multiply
    4,071x = 9,423 × 9,423
  4. Step 4: Simplify right side
    4,071x = 88,792,929
  5. Step 5: Solve for x
    x = 88,792,929/4,071
  6. Step 6: Final answer
    x = 21,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.