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Finding the Third Proportional to 9,634 and 15,326

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Solution

The third proportional to 9,634 and 15,326 is: 24,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 15,326 = 15,326 : x
  2. Step 2: Convert to fraction form
    9,634/15,326 = 15,326/x
  3. Step 3: Cross multiply
    9,634x = 15,326 × 15,326
  4. Step 4: Simplify right side
    9,634x = 234,886,276
  5. Step 5: Solve for x
    x = 234,886,276/9,634
  6. Step 6: Final answer
    x = 24,380.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.