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Finding the Third Proportional to 3,768 and 4,600

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Solution

The third proportional to 3,768 and 4,600 is: 5,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768 : 4,600 = 4,600 : x
  2. Step 2: Convert to fraction form
    3,768/4,600 = 4,600/x
  3. Step 3: Cross multiply
    3,768x = 4,600 × 4,600
  4. Step 4: Simplify right side
    3,768x = 21,160,000
  5. Step 5: Solve for x
    x = 21,160,000/3,768
  6. Step 6: Final answer
    x = 5,615.71

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.