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Finding the Third Proportional to 1,680 and 2,600

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Solution

The third proportional to 1,680 and 2,600 is: 4,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,600 = 2,600 : x
  2. Step 2: Convert to fraction form
    1,680/2,600 = 2,600/x
  3. Step 3: Cross multiply
    1,680x = 2,600 × 2,600
  4. Step 4: Simplify right side
    1,680x = 6,760,000
  5. Step 5: Solve for x
    x = 6,760,000/1,680
  6. Step 6: Final answer
    x = 4,023.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.