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Finding the Third Proportional to 5,972 and 6,404

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Solution

The third proportional to 5,972 and 6,404 is: 6,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 6,404 = 6,404 : x
  2. Step 2: Convert to fraction form
    5,972/6,404 = 6,404/x
  3. Step 3: Cross multiply
    5,972x = 6,404 × 6,404
  4. Step 4: Simplify right side
    5,972x = 41,011,216
  5. Step 5: Solve for x
    x = 41,011,216/5,972
  6. Step 6: Final answer
    x = 6,867.25

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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.