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Finding the Third Proportional to 31,989.75 and 48,425

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Solution

The third proportional to 31,989.75 and 48,425 is: 73,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.75 : 48,425 = 48,425 : x
  2. Step 2: Convert to fraction form
    31,989.75/48,425 = 48,425/x
  3. Step 3: Cross multiply
    31,989.75x = 48,425 × 48,425
  4. Step 4: Simplify right side
    31,989.75x = 2,344,980,625
  5. Step 5: Solve for x
    x = 2,344,980,625/31,989.75
  6. Step 6: Final answer
    x = 73,304.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.