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Finding the Third Proportional to 12,296.75 and 26,537.50

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Solution

The third proportional to 12,296.75 and 26,537.50 is: 57,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.75 : 26,537.50 = 26,537.50 : x
  2. Step 2: Convert to fraction form
    12,296.75/26,537.50 = 26,537.50/x
  3. Step 3: Cross multiply
    12,296.75x = 26,537.50 × 26,537.50
  4. Step 4: Simplify right side
    12,296.75x = 704,238,906.25
  5. Step 5: Solve for x
    x = 704,238,906.25/12,296.75
  6. Step 6: Final answer
    x = 57,270.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.