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Finding the Third Proportional to 35,624 and 76,489

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Solution

The third proportional to 35,624 and 76,489 is: 164,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624 : 76,489 = 76,489 : x
  2. Step 2: Convert to fraction form
    35,624/76,489 = 76,489/x
  3. Step 3: Cross multiply
    35,624x = 76,489 × 76,489
  4. Step 4: Simplify right side
    35,624x = 5,850,567,121
  5. Step 5: Solve for x
    x = 5,850,567,121/35,624
  6. Step 6: Final answer
    x = 164,231.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.