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Finding the Third Proportional to 6,680 and 10,472

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Solution

The third proportional to 6,680 and 10,472 is: 16,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 10,472 = 10,472 : x
  2. Step 2: Convert to fraction form
    6,680/10,472 = 10,472/x
  3. Step 3: Cross multiply
    6,680x = 10,472 × 10,472
  4. Step 4: Simplify right side
    6,680x = 109,662,784
  5. Step 5: Solve for x
    x = 109,662,784/6,680
  6. Step 6: Final answer
    x = 16,416.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.