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Finding the Third Proportional to 39,708.75 and 56,448.75

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Solution

The third proportional to 39,708.75 and 56,448.75 is: 80,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708.75 : 56,448.75 = 56,448.75 : x
  2. Step 2: Convert to fraction form
    39,708.75/56,448.75 = 56,448.75/x
  3. Step 3: Cross multiply
    39,708.75x = 56,448.75 × 56,448.75
  4. Step 4: Simplify right side
    39,708.75x = 3,186,461,376.56
  5. Step 5: Solve for x
    x = 3,186,461,376.56/39,708.75
  6. Step 6: Final answer
    x = 80,245.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.