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Finding the Third Proportional to 35,050 and 75,932

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Solution

The third proportional to 35,050 and 75,932 is: 164,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,050 : 75,932 = 75,932 : x
  2. Step 2: Convert to fraction form
    35,050/75,932 = 75,932/x
  3. Step 3: Cross multiply
    35,050x = 75,932 × 75,932
  4. Step 4: Simplify right side
    35,050x = 5,765,668,624
  5. Step 5: Solve for x
    x = 5,765,668,624/35,050
  6. Step 6: Final answer
    x = 164,498.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.