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Finding the Third Proportional to 35,138.75 and 76,514

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Solution

The third proportional to 35,138.75 and 76,514 is: 166,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.75 : 76,514 = 76,514 : x
  2. Step 2: Convert to fraction form
    35,138.75/76,514 = 76,514/x
  3. Step 3: Cross multiply
    35,138.75x = 76,514 × 76,514
  4. Step 4: Simplify right side
    35,138.75x = 5,854,392,196
  5. Step 5: Solve for x
    x = 5,854,392,196/35,138.75
  6. Step 6: Final answer
    x = 166,607.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.