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Finding the Third Proportional to 2,836 and 6,664

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Solution

The third proportional to 2,836 and 6,664 is: 15,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 6,664 = 6,664 : x
  2. Step 2: Convert to fraction form
    2,836/6,664 = 6,664/x
  3. Step 3: Cross multiply
    2,836x = 6,664 × 6,664
  4. Step 4: Simplify right side
    2,836x = 44,408,896
  5. Step 5: Solve for x
    x = 44,408,896/2,836
  6. Step 6: Final answer
    x = 15,658.99

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.