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Finding the Third Proportional to 17,762 and 28,311

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Solution

The third proportional to 17,762 and 28,311 is: 45,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762 : 28,311 = 28,311 : x
  2. Step 2: Convert to fraction form
    17,762/28,311 = 28,311/x
  3. Step 3: Cross multiply
    17,762x = 28,311 × 28,311
  4. Step 4: Simplify right side
    17,762x = 801,512,721
  5. Step 5: Solve for x
    x = 801,512,721/17,762
  6. Step 6: Final answer
    x = 45,125.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.