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Finding the Third Proportional to 51,429.75 and 68,241.75

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Solution

The third proportional to 51,429.75 and 68,241.75 is: 90,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,429.75 : 68,241.75 = 68,241.75 : x
  2. Step 2: Convert to fraction form
    51,429.75/68,241.75 = 68,241.75/x
  3. Step 3: Cross multiply
    51,429.75x = 68,241.75 × 68,241.75
  4. Step 4: Simplify right side
    51,429.75x = 4,656,936,443.06
  5. Step 5: Solve for x
    x = 4,656,936,443.06/51,429.75
  6. Step 6: Final answer
    x = 90,549.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.