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Finding the Third Proportional to 11,473 and 17,427

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Solution

The third proportional to 11,473 and 17,427 is: 26,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 17,427 = 17,427 : x
  2. Step 2: Convert to fraction form
    11,473/17,427 = 17,427/x
  3. Step 3: Cross multiply
    11,473x = 17,427 × 17,427
  4. Step 4: Simplify right side
    11,473x = 303,700,329
  5. Step 5: Solve for x
    x = 303,700,329/11,473
  6. Step 6: Final answer
    x = 26,470.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.