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Finding the Third Proportional to 7,026 and 16,419

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Solution

The third proportional to 7,026 and 16,419 is: 38,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 16,419 = 16,419 : x
  2. Step 2: Convert to fraction form
    7,026/16,419 = 16,419/x
  3. Step 3: Cross multiply
    7,026x = 16,419 × 16,419
  4. Step 4: Simplify right side
    7,026x = 269,583,561
  5. Step 5: Solve for x
    x = 269,583,561/7,026
  6. Step 6: Final answer
    x = 38,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.