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Finding the Third Proportional to 43,960 and 67,048

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Solution

The third proportional to 43,960 and 67,048 is: 102,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,960 : 67,048 = 67,048 : x
  2. Step 2: Convert to fraction form
    43,960/67,048 = 67,048/x
  3. Step 3: Cross multiply
    43,960x = 67,048 × 67,048
  4. Step 4: Simplify right side
    43,960x = 4,495,434,304
  5. Step 5: Solve for x
    x = 4,495,434,304/43,960
  6. Step 6: Final answer
    x = 102,261.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.