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Finding the Third Proportional to 14,784 and 31,744

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Solution

The third proportional to 14,784 and 31,744 is: 68,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 31,744 = 31,744 : x
  2. Step 2: Convert to fraction form
    14,784/31,744 = 31,744/x
  3. Step 3: Cross multiply
    14,784x = 31,744 × 31,744
  4. Step 4: Simplify right side
    14,784x = 1,007,681,536
  5. Step 5: Solve for x
    x = 1,007,681,536/14,784
  6. Step 6: Final answer
    x = 68,160.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.