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Finding the Third Proportional to 38,291 and 55,951

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Solution

The third proportional to 38,291 and 55,951 is: 81,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291 : 55,951 = 55,951 : x
  2. Step 2: Convert to fraction form
    38,291/55,951 = 55,951/x
  3. Step 3: Cross multiply
    38,291x = 55,951 × 55,951
  4. Step 4: Simplify right side
    38,291x = 3,130,514,401
  5. Step 5: Solve for x
    x = 3,130,514,401/38,291
  6. Step 6: Final answer
    x = 81,755.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.