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Finding the Third Proportional to 5,323 and 11,576

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Solution

The third proportional to 5,323 and 11,576 is: 25,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323 : 11,576 = 11,576 : x
  2. Step 2: Convert to fraction form
    5,323/11,576 = 11,576/x
  3. Step 3: Cross multiply
    5,323x = 11,576 × 11,576
  4. Step 4: Simplify right side
    5,323x = 134,003,776
  5. Step 5: Solve for x
    x = 134,003,776/5,323
  6. Step 6: Final answer
    x = 25,174.48

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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.