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Finding the Third Proportional to 18,056 and 19,469

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Solution

The third proportional to 18,056 and 19,469 is: 20,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,056 : 19,469 = 19,469 : x
  2. Step 2: Convert to fraction form
    18,056/19,469 = 19,469/x
  3. Step 3: Cross multiply
    18,056x = 19,469 × 19,469
  4. Step 4: Simplify right side
    18,056x = 379,041,961
  5. Step 5: Solve for x
    x = 379,041,961/18,056
  6. Step 6: Final answer
    x = 20,992.58

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.