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Finding the Third Proportional to 40,059 and 58,023

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Solution

The third proportional to 40,059 and 58,023 is: 84,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,059 : 58,023 = 58,023 : x
  2. Step 2: Convert to fraction form
    40,059/58,023 = 58,023/x
  3. Step 3: Cross multiply
    40,059x = 58,023 × 58,023
  4. Step 4: Simplify right side
    40,059x = 3,366,668,529
  5. Step 5: Solve for x
    x = 3,366,668,529/40,059
  6. Step 6: Final answer
    x = 84,042.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.