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Finding the Third Proportional to 5,746 and 11,612

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Solution

The third proportional to 5,746 and 11,612 is: 23,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 11,612 = 11,612 : x
  2. Step 2: Convert to fraction form
    5,746/11,612 = 11,612/x
  3. Step 3: Cross multiply
    5,746x = 11,612 × 11,612
  4. Step 4: Simplify right side
    5,746x = 134,838,544
  5. Step 5: Solve for x
    x = 134,838,544/5,746
  6. Step 6: Final answer
    x = 23,466.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.