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Finding the Third Proportional to 38,043 and 55,108

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Solution

The third proportional to 38,043 and 55,108 is: 79,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 55,108 = 55,108 : x
  2. Step 2: Convert to fraction form
    38,043/55,108 = 55,108/x
  3. Step 3: Cross multiply
    38,043x = 55,108 × 55,108
  4. Step 4: Simplify right side
    38,043x = 3,036,891,664
  5. Step 5: Solve for x
    x = 3,036,891,664/38,043
  6. Step 6: Final answer
    x = 79,827.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.