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Finding the Third Proportional to 38,404 and 59,245

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Solution

The third proportional to 38,404 and 59,245 is: 91,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404 : 59,245 = 59,245 : x
  2. Step 2: Convert to fraction form
    38,404/59,245 = 59,245/x
  3. Step 3: Cross multiply
    38,404x = 59,245 × 59,245
  4. Step 4: Simplify right side
    38,404x = 3,509,970,025
  5. Step 5: Solve for x
    x = 3,509,970,025/38,404
  6. Step 6: Final answer
    x = 91,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.