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Finding the Third Proportional to 43,008 and 67,584

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Solution

The third proportional to 43,008 and 67,584 is: 106,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,008 : 67,584 = 67,584 : x
  2. Step 2: Convert to fraction form
    43,008/67,584 = 67,584/x
  3. Step 3: Cross multiply
    43,008x = 67,584 × 67,584
  4. Step 4: Simplify right side
    43,008x = 4,567,597,056
  5. Step 5: Solve for x
    x = 4,567,597,056/43,008
  6. Step 6: Final answer
    x = 106,203.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.