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Finding the Third Proportional to 43,344 and 58,104

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Solution

The third proportional to 43,344 and 58,104 is: 77,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344 : 58,104 = 58,104 : x
  2. Step 2: Convert to fraction form
    43,344/58,104 = 58,104/x
  3. Step 3: Cross multiply
    43,344x = 58,104 × 58,104
  4. Step 4: Simplify right side
    43,344x = 3,376,074,816
  5. Step 5: Solve for x
    x = 3,376,074,816/43,344
  6. Step 6: Final answer
    x = 77,890.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.