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Finding the Third Proportional to 38,708.25 and 56,568.75

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Solution

The third proportional to 38,708.25 and 56,568.75 is: 82,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.25 : 56,568.75 = 56,568.75 : x
  2. Step 2: Convert to fraction form
    38,708.25/56,568.75 = 56,568.75/x
  3. Step 3: Cross multiply
    38,708.25x = 56,568.75 × 56,568.75
  4. Step 4: Simplify right side
    38,708.25x = 3,200,023,476.56
  5. Step 5: Solve for x
    x = 3,200,023,476.56/38,708.25
  6. Step 6: Final answer
    x = 82,670.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.