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Finding the Third Proportional to 4,024 and 6,403

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Solution

The third proportional to 4,024 and 6,403 is: 10,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 6,403 = 6,403 : x
  2. Step 2: Convert to fraction form
    4,024/6,403 = 6,403/x
  3. Step 3: Cross multiply
    4,024x = 6,403 × 6,403
  4. Step 4: Simplify right side
    4,024x = 40,998,409
  5. Step 5: Solve for x
    x = 40,998,409/4,024
  6. Step 6: Final answer
    x = 10,188.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.