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Finding the Third Proportional to 5,054 and 10,662

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Solution

The third proportional to 5,054 and 10,662 is: 22,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054 : 10,662 = 10,662 : x
  2. Step 2: Convert to fraction form
    5,054/10,662 = 10,662/x
  3. Step 3: Cross multiply
    5,054x = 10,662 × 10,662
  4. Step 4: Simplify right side
    5,054x = 113,678,244
  5. Step 5: Solve for x
    x = 113,678,244/5,054
  6. Step 6: Final answer
    x = 22,492.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.