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Finding the Third Proportional to 34,764 and 74,451

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Solution

The third proportional to 34,764 and 74,451 is: 159,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764 : 74,451 = 74,451 : x
  2. Step 2: Convert to fraction form
    34,764/74,451 = 74,451/x
  3. Step 3: Cross multiply
    34,764x = 74,451 × 74,451
  4. Step 4: Simplify right side
    34,764x = 5,542,951,401
  5. Step 5: Solve for x
    x = 5,542,951,401/34,764
  6. Step 6: Final answer
    x = 159,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.