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Finding the Third Proportional to 1,664 and 4,367

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Solution

The third proportional to 1,664 and 4,367 is: 11,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664 : 4,367 = 4,367 : x
  2. Step 2: Convert to fraction form
    1,664/4,367 = 4,367/x
  3. Step 3: Cross multiply
    1,664x = 4,367 × 4,367
  4. Step 4: Simplify right side
    1,664x = 19,070,689
  5. Step 5: Solve for x
    x = 19,070,689/1,664
  6. Step 6: Final answer
    x = 11,460.75

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.