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Finding the Third Proportional to 4,953 and 10,769

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Solution

The third proportional to 4,953 and 10,769 is: 23,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953 : 10,769 = 10,769 : x
  2. Step 2: Convert to fraction form
    4,953/10,769 = 10,769/x
  3. Step 3: Cross multiply
    4,953x = 10,769 × 10,769
  4. Step 4: Simplify right side
    4,953x = 115,971,361
  5. Step 5: Solve for x
    x = 115,971,361/4,953
  6. Step 6: Final answer
    x = 23,414.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.