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Finding the Third Proportional to 5,200 and 11,776

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Solution

The third proportional to 5,200 and 11,776 is: 26,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 11,776 = 11,776 : x
  2. Step 2: Convert to fraction form
    5,200/11,776 = 11,776/x
  3. Step 3: Cross multiply
    5,200x = 11,776 × 11,776
  4. Step 4: Simplify right side
    5,200x = 138,674,176
  5. Step 5: Solve for x
    x = 138,674,176/5,200
  6. Step 6: Final answer
    x = 26,668.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.