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Finding the Third Proportional to 5,164 and 11,057

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Solution

The third proportional to 5,164 and 11,057 is: 23,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 11,057 = 11,057 : x
  2. Step 2: Convert to fraction form
    5,164/11,057 = 11,057/x
  3. Step 3: Cross multiply
    5,164x = 11,057 × 11,057
  4. Step 4: Simplify right side
    5,164x = 122,257,249
  5. Step 5: Solve for x
    x = 122,257,249/5,164
  6. Step 6: Final answer
    x = 23,674.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.