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Finding the Third Proportional to 17,521 and 27,205

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Solution

The third proportional to 17,521 and 27,205 is: 42,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521 : 27,205 = 27,205 : x
  2. Step 2: Convert to fraction form
    17,521/27,205 = 27,205/x
  3. Step 3: Cross multiply
    17,521x = 27,205 × 27,205
  4. Step 4: Simplify right side
    17,521x = 740,112,025
  5. Step 5: Solve for x
    x = 740,112,025/17,521
  6. Step 6: Final answer
    x = 42,241.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.