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Finding the Third Proportional to 6,784 and 15,680

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Solution

The third proportional to 6,784 and 15,680 is: 36,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 15,680 = 15,680 : x
  2. Step 2: Convert to fraction form
    6,784/15,680 = 15,680/x
  3. Step 3: Cross multiply
    6,784x = 15,680 × 15,680
  4. Step 4: Simplify right side
    6,784x = 245,862,400
  5. Step 5: Solve for x
    x = 245,862,400/6,784
  6. Step 6: Final answer
    x = 36,241.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.