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Finding the Third Proportional to 21,175 and 45,267

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Solution

The third proportional to 21,175 and 45,267 is: 96,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175 : 45,267 = 45,267 : x
  2. Step 2: Convert to fraction form
    21,175/45,267 = 45,267/x
  3. Step 3: Cross multiply
    21,175x = 45,267 × 45,267
  4. Step 4: Simplify right side
    21,175x = 2,049,101,289
  5. Step 5: Solve for x
    x = 2,049,101,289/21,175
  6. Step 6: Final answer
    x = 96,769.84

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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.