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Finding the Third Proportional to 12,286 and 26,178

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Solution

The third proportional to 12,286 and 26,178 is: 55,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 26,178 = 26,178 : x
  2. Step 2: Convert to fraction form
    12,286/26,178 = 26,178/x
  3. Step 3: Cross multiply
    12,286x = 26,178 × 26,178
  4. Step 4: Simplify right side
    12,286x = 685,287,684
  5. Step 5: Solve for x
    x = 685,287,684/12,286
  6. Step 6: Final answer
    x = 55,777.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.