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Finding the Third Proportional to 4,769 and 11,556

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Solution

The third proportional to 4,769 and 11,556 is: 28,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769 : 11,556 = 11,556 : x
  2. Step 2: Convert to fraction form
    4,769/11,556 = 11,556/x
  3. Step 3: Cross multiply
    4,769x = 11,556 × 11,556
  4. Step 4: Simplify right side
    4,769x = 133,541,136
  5. Step 5: Solve for x
    x = 133,541,136/4,769
  6. Step 6: Final answer
    x = 28,001.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.