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Finding the Third Proportional to 11,976 and 26,306.25

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Solution

The third proportional to 11,976 and 26,306.25 is: 57,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 26,306.25 = 26,306.25 : x
  2. Step 2: Convert to fraction form
    11,976/26,306.25 = 26,306.25/x
  3. Step 3: Cross multiply
    11,976x = 26,306.25 × 26,306.25
  4. Step 4: Simplify right side
    11,976x = 692,018,789.06
  5. Step 5: Solve for x
    x = 692,018,789.06/11,976
  6. Step 6: Final answer
    x = 57,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.