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Finding the Third Proportional to 13,774 and 19,473

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Solution

The third proportional to 13,774 and 19,473 is: 27,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 19,473 = 19,473 : x
  2. Step 2: Convert to fraction form
    13,774/19,473 = 19,473/x
  3. Step 3: Cross multiply
    13,774x = 19,473 × 19,473
  4. Step 4: Simplify right side
    13,774x = 379,197,729
  5. Step 5: Solve for x
    x = 379,197,729/13,774
  6. Step 6: Final answer
    x = 27,529.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.