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Finding the Third Proportional to 12,270 and 26,573

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Solution

The third proportional to 12,270 and 26,573 is: 57,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270 : 26,573 = 26,573 : x
  2. Step 2: Convert to fraction form
    12,270/26,573 = 26,573/x
  3. Step 3: Cross multiply
    12,270x = 26,573 × 26,573
  4. Step 4: Simplify right side
    12,270x = 706,124,329
  5. Step 5: Solve for x
    x = 706,124,329/12,270
  6. Step 6: Final answer
    x = 57,548.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.