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Finding the Third Proportional to 12,485.25 and 26,747.44

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Solution

The third proportional to 12,485.25 and 26,747.44 is: 57,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.25 : 26,747.44 = 26,747.44 : x
  2. Step 2: Convert to fraction form
    12,485.25/26,747.44 = 26,747.44/x
  3. Step 3: Cross multiply
    12,485.25x = 26,747.44 × 26,747.44
  4. Step 4: Simplify right side
    12,485.25x = 715,425,412.82
  5. Step 5: Solve for x
    x = 715,425,412.82/12,485.25
  6. Step 6: Final answer
    x = 57,301.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.