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Finding the Third Proportional to 2,384 and 3,423

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Solution

The third proportional to 2,384 and 3,423 is: 4,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384 : 3,423 = 3,423 : x
  2. Step 2: Convert to fraction form
    2,384/3,423 = 3,423/x
  3. Step 3: Cross multiply
    2,384x = 3,423 × 3,423
  4. Step 4: Simplify right side
    2,384x = 11,716,929
  5. Step 5: Solve for x
    x = 11,716,929/2,384
  6. Step 6: Final answer
    x = 4,914.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.