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Finding the Third Proportional to 4,509 and 6,435

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Solution

The third proportional to 4,509 and 6,435 is: 9,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509 : 6,435 = 6,435 : x
  2. Step 2: Convert to fraction form
    4,509/6,435 = 6,435/x
  3. Step 3: Cross multiply
    4,509x = 6,435 × 6,435
  4. Step 4: Simplify right side
    4,509x = 41,409,225
  5. Step 5: Solve for x
    x = 41,409,225/4,509
  6. Step 6: Final answer
    x = 9,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.