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Finding the Third Proportional to 2,134 and 4,664

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Solution

The third proportional to 2,134 and 4,664 is: 10,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 4,664 = 4,664 : x
  2. Step 2: Convert to fraction form
    2,134/4,664 = 4,664/x
  3. Step 3: Cross multiply
    2,134x = 4,664 × 4,664
  4. Step 4: Simplify right side
    2,134x = 21,752,896
  5. Step 5: Solve for x
    x = 21,752,896/2,134
  6. Step 6: Final answer
    x = 10,193.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.