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Finding the Third Proportional to 14,852.25 and 35,052.75

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Solution

The third proportional to 14,852.25 and 35,052.75 is: 82,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.25 : 35,052.75 = 35,052.75 : x
  2. Step 2: Convert to fraction form
    14,852.25/35,052.75 = 35,052.75/x
  3. Step 3: Cross multiply
    14,852.25x = 35,052.75 × 35,052.75
  4. Step 4: Simplify right side
    14,852.25x = 1,228,695,282.56
  5. Step 5: Solve for x
    x = 1,228,695,282.56/14,852.25
  6. Step 6: Final answer
    x = 82,727.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.