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Finding the Third Proportional to 5,776 and 12,272

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Solution

The third proportional to 5,776 and 12,272 is: 26,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776 : 12,272 = 12,272 : x
  2. Step 2: Convert to fraction form
    5,776/12,272 = 12,272/x
  3. Step 3: Cross multiply
    5,776x = 12,272 × 12,272
  4. Step 4: Simplify right side
    5,776x = 150,601,984
  5. Step 5: Solve for x
    x = 150,601,984/5,776
  6. Step 6: Final answer
    x = 26,073.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.