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Finding the Third Proportional to 11,784 and 13,448

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Solution

The third proportional to 11,784 and 13,448 is: 15,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 13,448 = 13,448 : x
  2. Step 2: Convert to fraction form
    11,784/13,448 = 13,448/x
  3. Step 3: Cross multiply
    11,784x = 13,448 × 13,448
  4. Step 4: Simplify right side
    11,784x = 180,848,704
  5. Step 5: Solve for x
    x = 180,848,704/11,784
  6. Step 6: Final answer
    x = 15,346.97

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.