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Finding the Third Proportional to 43,514 and 58,278

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Solution

The third proportional to 43,514 and 58,278 is: 78,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,514 : 58,278 = 58,278 : x
  2. Step 2: Convert to fraction form
    43,514/58,278 = 58,278/x
  3. Step 3: Cross multiply
    43,514x = 58,278 × 58,278
  4. Step 4: Simplify right side
    43,514x = 3,396,325,284
  5. Step 5: Solve for x
    x = 3,396,325,284/43,514
  6. Step 6: Final answer
    x = 78,051.32

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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.