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Finding the Third Proportional to 12,206 and 26,586

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Solution

The third proportional to 12,206 and 26,586 is: 57,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 26,586 = 26,586 : x
  2. Step 2: Convert to fraction form
    12,206/26,586 = 26,586/x
  3. Step 3: Cross multiply
    12,206x = 26,586 × 26,586
  4. Step 4: Simplify right side
    12,206x = 706,815,396
  5. Step 5: Solve for x
    x = 706,815,396/12,206
  6. Step 6: Final answer
    x = 57,907.21

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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.