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Finding the Third Proportional to 4,270 and 8,423

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Solution

The third proportional to 4,270 and 8,423 is: 16,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 8,423 = 8,423 : x
  2. Step 2: Convert to fraction form
    4,270/8,423 = 8,423/x
  3. Step 3: Cross multiply
    4,270x = 8,423 × 8,423
  4. Step 4: Simplify right side
    4,270x = 70,946,929
  5. Step 5: Solve for x
    x = 70,946,929/4,270
  6. Step 6: Final answer
    x = 16,615.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.