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Finding the Third Proportional to 10,266 and 11,778

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Solution

The third proportional to 10,266 and 11,778 is: 13,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266 : 11,778 = 11,778 : x
  2. Step 2: Convert to fraction form
    10,266/11,778 = 11,778/x
  3. Step 3: Cross multiply
    10,266x = 11,778 × 11,778
  4. Step 4: Simplify right side
    10,266x = 138,721,284
  5. Step 5: Solve for x
    x = 138,721,284/10,266
  6. Step 6: Final answer
    x = 13,512.69

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.