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Finding the Third Proportional to 9,634 and 14,386

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Solution

The third proportional to 9,634 and 14,386 is: 21,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 14,386 = 14,386 : x
  2. Step 2: Convert to fraction form
    9,634/14,386 = 14,386/x
  3. Step 3: Cross multiply
    9,634x = 14,386 × 14,386
  4. Step 4: Simplify right side
    9,634x = 206,956,996
  5. Step 5: Solve for x
    x = 206,956,996/9,634
  6. Step 6: Final answer
    x = 21,481.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.