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Finding the Third Proportional to 38,376.75 and 59,205.75

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Solution

The third proportional to 38,376.75 and 59,205.75 is: 91,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.75 : 59,205.75 = 59,205.75 : x
  2. Step 2: Convert to fraction form
    38,376.75/59,205.75 = 59,205.75/x
  3. Step 3: Cross multiply
    38,376.75x = 59,205.75 × 59,205.75
  4. Step 4: Simplify right side
    38,376.75x = 3,505,320,833.06
  5. Step 5: Solve for x
    x = 3,505,320,833.06/38,376.75
  6. Step 6: Final answer
    x = 91,339.70

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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.