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Finding the Third Proportional to 12,573 and 27,197

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Solution

The third proportional to 12,573 and 27,197 is: 58,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573 : 27,197 = 27,197 : x
  2. Step 2: Convert to fraction form
    12,573/27,197 = 27,197/x
  3. Step 3: Cross multiply
    12,573x = 27,197 × 27,197
  4. Step 4: Simplify right side
    12,573x = 739,676,809
  5. Step 5: Solve for x
    x = 739,676,809/12,573
  6. Step 6: Final answer
    x = 58,830.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.