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Finding the Third Proportional to 6,434 and 6,890

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Solution

The third proportional to 6,434 and 6,890 is: 7,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 6,890 = 6,890 : x
  2. Step 2: Convert to fraction form
    6,434/6,890 = 6,890/x
  3. Step 3: Cross multiply
    6,434x = 6,890 × 6,890
  4. Step 4: Simplify right side
    6,434x = 47,472,100
  5. Step 5: Solve for x
    x = 47,472,100/6,434
  6. Step 6: Final answer
    x = 7,378.32

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.