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Finding the Third Proportional to 1,680 and 3,495

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Solution

The third proportional to 1,680 and 3,495 is: 7,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 3,495 = 3,495 : x
  2. Step 2: Convert to fraction form
    1,680/3,495 = 3,495/x
  3. Step 3: Cross multiply
    1,680x = 3,495 × 3,495
  4. Step 4: Simplify right side
    1,680x = 12,215,025
  5. Step 5: Solve for x
    x = 12,215,025/1,680
  6. Step 6: Final answer
    x = 7,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.