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Finding the Third Proportional to 6,680 and 15,780

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Solution

The third proportional to 6,680 and 15,780 is: 37,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 15,780 = 15,780 : x
  2. Step 2: Convert to fraction form
    6,680/15,780 = 15,780/x
  3. Step 3: Cross multiply
    6,680x = 15,780 × 15,780
  4. Step 4: Simplify right side
    6,680x = 249,008,400
  5. Step 5: Solve for x
    x = 249,008,400/6,680
  6. Step 6: Final answer
    x = 37,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.