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Finding the Third Proportional to 3,076 and 5,846

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Solution

The third proportional to 3,076 and 5,846 is: 11,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076 : 5,846 = 5,846 : x
  2. Step 2: Convert to fraction form
    3,076/5,846 = 5,846/x
  3. Step 3: Cross multiply
    3,076x = 5,846 × 5,846
  4. Step 4: Simplify right side
    3,076x = 34,175,716
  5. Step 5: Solve for x
    x = 34,175,716/3,076
  6. Step 6: Final answer
    x = 11,110.44

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.