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Finding the Third Proportional to 3,294 and 6,423

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Solution

The third proportional to 3,294 and 6,423 is: 12,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294 : 6,423 = 6,423 : x
  2. Step 2: Convert to fraction form
    3,294/6,423 = 6,423/x
  3. Step 3: Cross multiply
    3,294x = 6,423 × 6,423
  4. Step 4: Simplify right side
    3,294x = 41,254,929
  5. Step 5: Solve for x
    x = 41,254,929/3,294
  6. Step 6: Final answer
    x = 12,524.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.