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Finding the Third Proportional to 12,308 and 26,843.75

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Solution

The third proportional to 12,308 and 26,843.75 is: 58,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308 : 26,843.75 = 26,843.75 : x
  2. Step 2: Convert to fraction form
    12,308/26,843.75 = 26,843.75/x
  3. Step 3: Cross multiply
    12,308x = 26,843.75 × 26,843.75
  4. Step 4: Simplify right side
    12,308x = 720,586,914.06
  5. Step 5: Solve for x
    x = 720,586,914.06/12,308
  6. Step 6: Final answer
    x = 58,546.22

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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.