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Finding the Third Proportional to 7,343 and 8,423

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Solution

The third proportional to 7,343 and 8,423 is: 9,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343 : 8,423 = 8,423 : x
  2. Step 2: Convert to fraction form
    7,343/8,423 = 8,423/x
  3. Step 3: Cross multiply
    7,343x = 8,423 × 8,423
  4. Step 4: Simplify right side
    7,343x = 70,946,929
  5. Step 5: Solve for x
    x = 70,946,929/7,343
  6. Step 6: Final answer
    x = 9,661.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.