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Finding the Third Proportional to 12,188 and 26,609

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Solution

The third proportional to 12,188 and 26,609 is: 58,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188 : 26,609 = 26,609 : x
  2. Step 2: Convert to fraction form
    12,188/26,609 = 26,609/x
  3. Step 3: Cross multiply
    12,188x = 26,609 × 26,609
  4. Step 4: Simplify right side
    12,188x = 708,038,881
  5. Step 5: Solve for x
    x = 708,038,881/12,188
  6. Step 6: Final answer
    x = 58,093.11

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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.