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Finding the Third Proportional to 5,058 and 10,322

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Solution

The third proportional to 5,058 and 10,322 is: 21,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 10,322 = 10,322 : x
  2. Step 2: Convert to fraction form
    5,058/10,322 = 10,322/x
  3. Step 3: Cross multiply
    5,058x = 10,322 × 10,322
  4. Step 4: Simplify right side
    5,058x = 106,543,684
  5. Step 5: Solve for x
    x = 106,543,684/5,058
  6. Step 6: Final answer
    x = 21,064.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.