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Finding the Third Proportional to 12,601 and 27,470

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Solution

The third proportional to 12,601 and 27,470 is: 59,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601 : 27,470 = 27,470 : x
  2. Step 2: Convert to fraction form
    12,601/27,470 = 27,470/x
  3. Step 3: Cross multiply
    12,601x = 27,470 × 27,470
  4. Step 4: Simplify right side
    12,601x = 754,600,900
  5. Step 5: Solve for x
    x = 754,600,900/12,601
  6. Step 6: Final answer
    x = 59,884.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.