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Finding the Third Proportional to 10,266 and 23,951

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Solution

The third proportional to 10,266 and 23,951 is: 55,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266 : 23,951 = 23,951 : x
  2. Step 2: Convert to fraction form
    10,266/23,951 = 23,951/x
  3. Step 3: Cross multiply
    10,266x = 23,951 × 23,951
  4. Step 4: Simplify right side
    10,266x = 573,650,401
  5. Step 5: Solve for x
    x = 573,650,401/10,266
  6. Step 6: Final answer
    x = 55,878.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.