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Finding the Third Proportional to 31,434.75 and 68,415.75

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Solution

The third proportional to 31,434.75 and 68,415.75 is: 148,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.75 : 68,415.75 = 68,415.75 : x
  2. Step 2: Convert to fraction form
    31,434.75/68,415.75 = 68,415.75/x
  3. Step 3: Cross multiply
    31,434.75x = 68,415.75 × 68,415.75
  4. Step 4: Simplify right side
    31,434.75x = 4,680,714,848.06
  5. Step 5: Solve for x
    x = 4,680,714,848.06/31,434.75
  6. Step 6: Final answer
    x = 148,902.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.