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Finding the Third Proportional to 5,207 and 11,458

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Solution

The third proportional to 5,207 and 11,458 is: 25,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207 : 11,458 = 11,458 : x
  2. Step 2: Convert to fraction form
    5,207/11,458 = 11,458/x
  3. Step 3: Cross multiply
    5,207x = 11,458 × 11,458
  4. Step 4: Simplify right side
    5,207x = 131,285,764
  5. Step 5: Solve for x
    x = 131,285,764/5,207
  6. Step 6: Final answer
    x = 25,213.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.