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Finding the Third Proportional to 12,182 and 26,215

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Solution

The third proportional to 12,182 and 26,215 is: 56,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182 : 26,215 = 26,215 : x
  2. Step 2: Convert to fraction form
    12,182/26,215 = 26,215/x
  3. Step 3: Cross multiply
    12,182x = 26,215 × 26,215
  4. Step 4: Simplify right side
    12,182x = 687,226,225
  5. Step 5: Solve for x
    x = 687,226,225/12,182
  6. Step 6: Final answer
    x = 56,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.