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Finding the Third Proportional to 9,729 and 19,458

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Solution

The third proportional to 9,729 and 19,458 is: 38,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 19,458 = 19,458 : x
  2. Step 2: Convert to fraction form
    9,729/19,458 = 19,458/x
  3. Step 3: Cross multiply
    9,729x = 19,458 × 19,458
  4. Step 4: Simplify right side
    9,729x = 378,613,764
  5. Step 5: Solve for x
    x = 378,613,764/9,729
  6. Step 6: Final answer
    x = 38,916

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.