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Finding the Third Proportional to 13,990 and 19,573

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Solution

The third proportional to 13,990 and 19,573 is: 27,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990 : 19,573 = 19,573 : x
  2. Step 2: Convert to fraction form
    13,990/19,573 = 19,573/x
  3. Step 3: Cross multiply
    13,990x = 19,573 × 19,573
  4. Step 4: Simplify right side
    13,990x = 383,102,329
  5. Step 5: Solve for x
    x = 383,102,329/13,990
  6. Step 6: Final answer
    x = 27,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.