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Finding the Third Proportional to 14,381 and 22,199

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Solution

The third proportional to 14,381 and 22,199 is: 34,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381 : 22,199 = 22,199 : x
  2. Step 2: Convert to fraction form
    14,381/22,199 = 22,199/x
  3. Step 3: Cross multiply
    14,381x = 22,199 × 22,199
  4. Step 4: Simplify right side
    14,381x = 492,795,601
  5. Step 5: Solve for x
    x = 492,795,601/14,381
  6. Step 6: Final answer
    x = 34,267.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.