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Finding the Third Proportional to 38,712.94 and 54,518.06

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Solution

The third proportional to 38,712.94 and 54,518.06 is: 76,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712.94 : 54,518.06 = 54,518.06 : x
  2. Step 2: Convert to fraction form
    38,712.94/54,518.06 = 54,518.06/x
  3. Step 3: Cross multiply
    38,712.94x = 54,518.06 × 54,518.06
  4. Step 4: Simplify right side
    38,712.94x = 2,972,219,138.75
  5. Step 5: Solve for x
    x = 2,972,219,138.75/38,712.94
  6. Step 6: Final answer
    x = 76,775.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.