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Finding the Third Proportional to 38,256 and 59,379.75

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Solution

The third proportional to 38,256 and 59,379.75 is: 92,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256 : 59,379.75 = 59,379.75 : x
  2. Step 2: Convert to fraction form
    38,256/59,379.75 = 59,379.75/x
  3. Step 3: Cross multiply
    38,256x = 59,379.75 × 59,379.75
  4. Step 4: Simplify right side
    38,256x = 3,525,954,710.06
  5. Step 5: Solve for x
    x = 3,525,954,710.06/38,256
  6. Step 6: Final answer
    x = 92,167.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.