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Finding the Third Proportional to 3,970 and 6,483

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Solution

The third proportional to 3,970 and 6,483 is: 10,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 6,483 = 6,483 : x
  2. Step 2: Convert to fraction form
    3,970/6,483 = 6,483/x
  3. Step 3: Cross multiply
    3,970x = 6,483 × 6,483
  4. Step 4: Simplify right side
    3,970x = 42,029,289
  5. Step 5: Solve for x
    x = 42,029,289/3,970
  6. Step 6: Final answer
    x = 10,586.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.