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Finding the Third Proportional to 14,549 and 22,094

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Solution

The third proportional to 14,549 and 22,094 is: 33,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549 : 22,094 = 22,094 : x
  2. Step 2: Convert to fraction form
    14,549/22,094 = 22,094/x
  3. Step 3: Cross multiply
    14,549x = 22,094 × 22,094
  4. Step 4: Simplify right side
    14,549x = 488,144,836
  5. Step 5: Solve for x
    x = 488,144,836/14,549
  6. Step 6: Final answer
    x = 33,551.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.