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Finding the Third Proportional to 40,835.25 and 55,419.75

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Solution

The third proportional to 40,835.25 and 55,419.75 is: 75,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,835.25 : 55,419.75 = 55,419.75 : x
  2. Step 2: Convert to fraction form
    40,835.25/55,419.75 = 55,419.75/x
  3. Step 3: Cross multiply
    40,835.25x = 55,419.75 × 55,419.75
  4. Step 4: Simplify right side
    40,835.25x = 3,071,348,690.06
  5. Step 5: Solve for x
    x = 3,071,348,690.06/40,835.25
  6. Step 6: Final answer
    x = 75,213.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.