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Finding the Third Proportional to 20,746 and 27,951

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Solution

The third proportional to 20,746 and 27,951 is: 37,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746 : 27,951 = 27,951 : x
  2. Step 2: Convert to fraction form
    20,746/27,951 = 27,951/x
  3. Step 3: Cross multiply
    20,746x = 27,951 × 27,951
  4. Step 4: Simplify right side
    20,746x = 781,258,401
  5. Step 5: Solve for x
    x = 781,258,401/20,746
  6. Step 6: Final answer
    x = 37,658.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.