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Finding the Third Proportional to 26,394 and 54,971.25

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Solution

The third proportional to 26,394 and 54,971.25 is: 114,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,394 : 54,971.25 = 54,971.25 : x
  2. Step 2: Convert to fraction form
    26,394/54,971.25 = 54,971.25/x
  3. Step 3: Cross multiply
    26,394x = 54,971.25 × 54,971.25
  4. Step 4: Simplify right side
    26,394x = 3,021,838,326.56
  5. Step 5: Solve for x
    x = 3,021,838,326.56/26,394
  6. Step 6: Final answer
    x = 114,489.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.