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Finding the Third Proportional to 43,524 and 58,338

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Solution

The third proportional to 43,524 and 58,338 is: 78,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,524 : 58,338 = 58,338 : x
  2. Step 2: Convert to fraction form
    43,524/58,338 = 58,338/x
  3. Step 3: Cross multiply
    43,524x = 58,338 × 58,338
  4. Step 4: Simplify right side
    43,524x = 3,403,322,244
  5. Step 5: Solve for x
    x = 3,403,322,244/43,524
  6. Step 6: Final answer
    x = 78,194.15

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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.