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Finding the Third Proportional to 12,481.75 and 26,495.75

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Solution

The third proportional to 12,481.75 and 26,495.75 is: 56,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.75 : 26,495.75 = 26,495.75 : x
  2. Step 2: Convert to fraction form
    12,481.75/26,495.75 = 26,495.75/x
  3. Step 3: Cross multiply
    12,481.75x = 26,495.75 × 26,495.75
  4. Step 4: Simplify right side
    12,481.75x = 702,024,768.06
  5. Step 5: Solve for x
    x = 702,024,768.06/12,481.75
  6. Step 6: Final answer
    x = 56,244.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.