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Finding the Third Proportional to 12,648 and 26,625

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Solution

The third proportional to 12,648 and 26,625 is: 56,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648 : 26,625 = 26,625 : x
  2. Step 2: Convert to fraction form
    12,648/26,625 = 26,625/x
  3. Step 3: Cross multiply
    12,648x = 26,625 × 26,625
  4. Step 4: Simplify right side
    12,648x = 708,890,625
  5. Step 5: Solve for x
    x = 708,890,625/12,648
  6. Step 6: Final answer
    x = 56,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.