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Finding the Third Proportional to 12,625 and 26,557

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Solution

The third proportional to 12,625 and 26,557 is: 55,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625 : 26,557 = 26,557 : x
  2. Step 2: Convert to fraction form
    12,625/26,557 = 26,557/x
  3. Step 3: Cross multiply
    12,625x = 26,557 × 26,557
  4. Step 4: Simplify right side
    12,625x = 705,274,249
  5. Step 5: Solve for x
    x = 705,274,249/12,625
  6. Step 6: Final answer
    x = 55,863.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.