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Finding the Third Proportional to 4,234 and 6,423

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Solution

The third proportional to 4,234 and 6,423 is: 9,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 6,423 = 6,423 : x
  2. Step 2: Convert to fraction form
    4,234/6,423 = 6,423/x
  3. Step 3: Cross multiply
    4,234x = 6,423 × 6,423
  4. Step 4: Simplify right side
    4,234x = 41,254,929
  5. Step 5: Solve for x
    x = 41,254,929/4,234
  6. Step 6: Final answer
    x = 9,743.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.